What is the LCM of 2, 14 and 32?

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

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