LCM for 90 and 235

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What's the Least Common Multiple (LCM) of 90 and 235?

Answer

LCM of 90 and 235 is
4,230

First common multiples: 4,230; 8,460; 12,690; …

4,230 is divisible by both: 4,230 ÷ 90 = 47; 4,230 ÷ 235 = 18 — and 47 and 18 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/90 by 47 and of y/235 by 18.

90 = 2 × 32 × 5

235 = 5 × 47

Prime90235Highest power
22—2
332—32
5555
47—4747

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

LCM = 2 × 32 × 5 × 47 = 4,230

See Also

FAQ

What's the Least Common Multiple (LCM) of 90 and 235?

LCM of 90 and 235 is 4,230

How to find the LCM of 90 and 235 using prime factorization?

To find the LCM of 90 and 235, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 4,230.

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 90 and 235: LCM = 4,230, GCF = 5.