LCM for 144 and 48

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What's the Least Common Multiple (LCM) of 144 and 48?

Answer

LCM of 144 and 48 is
144

First common multiples: 144, 288, 432, …

As a common denominator: multiply the top and bottom of y/48 by 3.

48 divides 144 (144 ÷ 48 = 3), so the LCM is the larger number itself.

144 = 24 × 32

48 = 24 × 3

Prime14448Highest power
2242424
332332

LCM = 24 × 32 = 144

See Also

LCM Table

Number 1Number 2LCM
144331,584
144342,448
144355,040
14436144
144375,328
144382,736
144391,872
14440720
144415,904
144421,008
144436,192
144441,584
14445720
144463,312
144476,768
14448144
144497,056
144503,600
144512,448
144521,872
144537,632
14454432
144557,920
144561,008
144572,736
144584,176
144598,496
14460720
144618,784
144624,464

FAQ

What's the Least Common Multiple (LCM) of 144 and 48?

LCM of 144 and 48 is 144

How to find the LCM of 144 and 48 using prime factorization?

To find the LCM of 144 and 48, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 144.

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 144 and 48: LCM = 144, GCF = 48.