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What is the Least Common Multiple of 4975 and 4982?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 4975 and 4982 is 24785450.

LCM(4975,4982) = 24785450

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Least Common Multiple of 4975 and 4982 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4975 and 4982, than apply into the LCM equation.

GCF(4975,4982) = 1
LCM(4975,4982) = ( 4975 × 4982) / 1
LCM(4975,4982) = 24785450 / 1
LCM(4975,4982) = 24785450

Least Common Multiple (LCM) of 4975 and 4982 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4975 and 4982. First we will calculate the prime factors of 4975 and 4982.

Prime Factorization of 4975

Prime factors of 4975 are 5, 199. Prime factorization of 4975 in exponential form is:

4975 = 52 × 1991

Prime Factorization of 4982

Prime factors of 4982 are 2, 47, 53. Prime factorization of 4982 in exponential form is:

4982 = 21 × 471 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 4975 and 4982.

LCM(4975,4982) = 52 × 1991 × 21 × 471 × 531
LCM(4975,4982) = 24785450