What is the LCM of 16, 32 and 48?

What's the Least Common Multiple (LCM) of 16, 32 and 48?

Answer

LCM of 16, 32 and 48 is

96

First common multiples: 96, 192, 288, …

96 is divisible by all three: 96 ÷ 16 = 6, 96 ÷ 32 = 3, 96 ÷ 48 = 2 — and 6, 3 and 2 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/16 by 6 and of y/32 by 3 and of z/48 by 2.

16 = 2⁴

32 = 2⁵

48 = 2⁴ × 3

Prime	16	32	48	Highest power
2	2⁴	2⁵	2⁴	2⁵
3	—	—	3	3

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

LCM = 2⁵ × 3 = 96

More with these numbers

Related Calculations

LCM Table

1st	2nd	3rd	LCM
16	32	33	1,056
16	32	34	544
16	32	35	1,120
16	32	36	288
16	32	37	1,184
16	32	38	608
16	32	39	1,248
16	32	40	160
16	32	41	1,312
16	32	42	672
16	32	43	1,376
16	32	44	352
16	32	45	1,440
16	32	46	736
16	32	47	1,504
16	32	48	96
16	32	49	1,568
16	32	50	800
16	32	51	1,632
16	32	52	416
16	32	53	1,696
16	32	54	864
16	32	55	1,760
16	32	56	224
16	32	57	1,824
16	32	58	928
16	32	59	1,888
16	32	60	480
16	32	61	1,952
16	32	62	992

LCM for 16, 32 and 48

What's the Least Common Multiple (LCM) of 16, 32 and 48?

More with these numbers

Related Calculations

See Also

LCM Table

FAQ

What's the Least Common Multiple (LCM) of 16, 32 and 48?

How to find the LCM of 16, 32 and 48 by prime factorization?

Can you get the LCM of 16, 32 and 48 two numbers at a time?

Is 96 divisible by 16, 32 and 48?

See Also