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What is the Least Common Multiple of 4966 and 4985?

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 4966 and 4985 is 24755510.

LCM(4966,4985) = 24755510

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Least Common Multiple of 4966 and 4985 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4966 and 4985, than apply into the LCM equation.

GCF(4966,4985) = 1
LCM(4966,4985) = ( 4966 × 4985) / 1
LCM(4966,4985) = 24755510 / 1
LCM(4966,4985) = 24755510

Least Common Multiple (LCM) of 4966 and 4985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4966 and 4985. First we will calculate the prime factors of 4966 and 4985.

Prime Factorization of 4966

Prime factors of 4966 are 2, 13, 191. Prime factorization of 4966 in exponential form is:

4966 = 21 × 131 × 1911

Prime Factorization of 4985

Prime factors of 4985 are 5, 997. Prime factorization of 4985 in exponential form is:

4985 = 51 × 9971

Now multiplying the highest exponent prime factors to calculate the LCM of 4966 and 4985.

LCM(4966,4985) = 21 × 131 × 1911 × 51 × 9971
LCM(4966,4985) = 24755510