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What is the Least Common Multiple of 4964 and 4974?

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 4964 and 4974 is 12345468.

LCM(4964,4974) = 12345468

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Least Common Multiple of 4964 and 4974 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4964 and 4974, than apply into the LCM equation.

GCF(4964,4974) = 2
LCM(4964,4974) = ( 4964 × 4974) / 2
LCM(4964,4974) = 24690936 / 2
LCM(4964,4974) = 12345468

Least Common Multiple (LCM) of 4964 and 4974 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4964 and 4974. First we will calculate the prime factors of 4964 and 4974.

Prime Factorization of 4964

Prime factors of 4964 are 2, 17, 73. Prime factorization of 4964 in exponential form is:

4964 = 22 × 171 × 731

Prime Factorization of 4974

Prime factors of 4974 are 2, 3, 829. Prime factorization of 4974 in exponential form is:

4974 = 21 × 31 × 8291

Now multiplying the highest exponent prime factors to calculate the LCM of 4964 and 4974.

LCM(4964,4974) = 22 × 171 × 731 × 31 × 8291
LCM(4964,4974) = 12345468