LCM for 16 and 48

"Least Common Multiple" Calculator

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

Answer

LCM of 16 and 48 is

First common multiples: 48, 96, 144, …

As a common denominator: multiply the top and bottom of x/16 by 3.

16 divides 48 (48 ÷ 16 = 3), so the LCM is the larger number itself.

16 = 2⁴

48 = 2⁴ × 3

Prime	16	48	Highest power
2	2⁴	2⁴	2⁴
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 = 2⁴ × 3 = 48

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LCM Table

Number 1	Number 2	LCM
16	29	464
16	30	240
16	31	496
16	32	32
16	34	272
16	35	560
16	36	144
16	38	304
16	39	624
16	40	80
16	42	336
16	43	688
16	44	176
16	45	720
16	46	368
16	48	48
16	51	816
16	55	880
16	56	112
16	57	912
16	58	464
16	59	944
16	64	64
16	72	144
16	80	80
16	81	1,296
16	84	336
16	90	720
16	96	96
16	100	400

FAQ

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

LCM of 16 and 48 is 48

How to find the LCM of 16 and 48 using prime factorization?

To find the LCM of 16 and 48, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 48.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 16 and 48: LCM = 48, GCF = 16.

LCM for 16 and 48

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

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See Also

LCM Table

FAQ

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

How to find the LCM of 16 and 48 using prime factorization?

What is the difference between LCM and GCF?

See Also