LCM for 2, 14 and 32

"Least Common Multiple of 3 Numbers" Calculator

What's the Least Common Multiple (LCM) of 2, 14 and 32?

Answer

LCM of 2, 14 and 32 is

224

First common multiples: 224, 448, 672, …

224 is divisible by all three: 224 ÷ 2 = 112, 224 ÷ 14 = 16, 224 ÷ 32 = 7 — and 112, 16 and 7 have no factor but 1 common to all of them, so no smaller number is. As a common denominator: multiply the top and bottom of x/2 by 112 and of y/14 by 16 and of z/32 by 7.

2 — prime

14 = 2 × 7

32 = 2⁵

Prime	2	14	32	Highest power
2	2	2	2⁵	2⁵
7	—	7	—	7

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 2⁵ × 7 = 224

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
2	14	17	238
2	14	18	126
2	14	19	266
2	14	20	140
2	14	21	42
2	14	22	154
2	14	23	322
2	14	24	168
2	14	25	350
2	14	26	182
2	14	27	378
2	14	28	28
2	14	29	406
2	14	30	210
2	14	31	434
2	14	32	224
2	14	33	462
2	14	34	238
2	14	35	70
2	14	36	252
2	14	37	518
2	14	38	266
2	14	39	546
2	14	40	280
2	14	41	574
2	14	42	42
2	14	43	602
2	14	44	308
2	14	45	630
2	14	46	322

FAQ

What's the Least Common Multiple (LCM) of 2, 14 and 32?

LCM of 2, 14 and 32 is 224

How to find the LCM of 2, 14 and 32 by prime factorization?

Take every prime that appears in 2, 14 and 32 to the highest power it reaches in any one of them and multiply: 2⁵ × 7 = 224.

Can you get the LCM of 2, 14 and 32 two numbers at a time?

Yes. The LCM of 2 and 14 is 14, and the LCM of 14 and 32 is 224 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 224 divisible by 2, 14 and 32?

Yes, and by definition it is the smallest positive integer that is: 224 ÷ 2, 224 ÷ 14 and 224 ÷ 32 all come out whole. Any other common multiple of 2, 14 and 32 is a multiple of 224.

LCM for 2, 14 and 32

What's the Least Common Multiple (LCM) of 2, 14 and 32?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 2, 14 and 32?

How to find the LCM of 2, 14 and 32 by prime factorization?

Can you get the LCM of 2, 14 and 32 two numbers at a time?

Is 224 divisible by 2, 14 and 32?

See Also

1st	2nd	3rd	LCM
2	14	17	238
2	14	18	126
2	14	19	266
2	14	20	140
2	14	21	42
2	14	22	154
2	14	23	322
2	14	24	168
2	14	25	350
2	14	26	182
2	14	27	378
2	14	28	28
2	14	29	406
2	14	30	210
2	14	31	434
2	14	32	224
2	14	33	462
2	14	34	238
2	14	35	70
2	14	36	252
2	14	37	518
2	14	38	266
2	14	39	546
2	14	40	280
2	14	41	574
2	14	42	42
2	14	43	602
2	14	44	308
2	14	45	630
2	14	46	322

1st	2nd	3rd	LCM
2	14	17	238
2	14	18	126
2	14	19	266
2	14	20	140
2	14	21	42
2	14	22	154
2	14	23	322
2	14	24	168
2	14	25	350
2	14	26	182
2	14	27	378
2	14	28	28
2	14	29	406
2	14	30	210
2	14	31	434
2	14	32	224
2	14	33	462
2	14	34	238
2	14	35	70
2	14	36	252
2	14	37	518
2	14	38	266
2	14	39	546
2	14	40	280
2	14	41	574
2	14	42	42
2	14	43	602
2	14	44	308
2	14	45	630
2	14	46	322

1st	2nd	3rd	LCM
2	14	17	238
2	14	18	126
2	14	19	266
2	14	20	140
2	14	21	42
2	14	22	154
2	14	23	322
2	14	24	168
2	14	25	350
2	14	26	182
2	14	27	378
2	14	28	28
2	14	29	406
2	14	30	210
2	14	31	434
2	14	32	224
2	14	33	462
2	14	34	238
2	14	35	70
2	14	36	252
2	14	37	518
2	14	38	266
2	14	39	546
2	14	40	280
2	14	41	574
2	14	42	42
2	14	43	602
2	14	44	308
2	14	45	630
2	14	46	322