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What is the Least Common Multiple of 4962 and 4971?

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 4962 and 4971 is 8222034.

LCM(4962,4971) = 8222034

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Least Common Multiple of 4962 and 4971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4962 and 4971, than apply into the LCM equation.

GCF(4962,4971) = 3
LCM(4962,4971) = ( 4962 × 4971) / 3
LCM(4962,4971) = 24666102 / 3
LCM(4962,4971) = 8222034

Least Common Multiple (LCM) of 4962 and 4971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4962 and 4971. First we will calculate the prime factors of 4962 and 4971.

Prime Factorization of 4962

Prime factors of 4962 are 2, 3, 827. Prime factorization of 4962 in exponential form is:

4962 = 21 × 31 × 8271

Prime Factorization of 4971

Prime factors of 4971 are 3, 1657. Prime factorization of 4971 in exponential form is:

4971 = 31 × 16571

Now multiplying the highest exponent prime factors to calculate the LCM of 4962 and 4971.

LCM(4962,4971) = 21 × 31 × 8271 × 16571
LCM(4962,4971) = 8222034