LCM for 48 and 90

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What's the Least Common Multiple (LCM) of 48 and 90?

Answer

LCM of 48 and 90 is
720

First common multiples: 720; 1,440; 2,160; …

720 is divisible by both: 720 ÷ 48 = 15, 720 ÷ 90 = 8 — and 15 and 8 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/48 by 15 and of y/90 by 8.

48 = 24 × 3

90 = 2 × 32 × 5

Prime4890Highest power
224224
333232
5—55

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

LCM = 24 × 32 × 5 = 720

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LCM Table

Number 1Number 2LCM
481248
483296
4836144
48501,200
4852624
4854432
4856336
4857912
48581,392
4860240
4866528
4872144
48751,200
4880240
48811,296
4884336
4890720
489696
48991,584
481001,200
48120240
48128384
48168336
484503,600

FAQ

What's the Least Common Multiple (LCM) of 48 and 90?

LCM of 48 and 90 is 720

How to find the LCM of 48 and 90 using prime factorization?

To find the LCM of 48 and 90, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 720.

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 48 and 90: LCM = 720, GCF = 6.

See Also