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What is the Least Common Multiple of 4941 and 4956?

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 4941 and 4956 is 8162532.

LCM(4941,4956) = 8162532

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Least Common Multiple of 4941 and 4956 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4941 and 4956, than apply into the LCM equation.

GCF(4941,4956) = 3
LCM(4941,4956) = ( 4941 × 4956) / 3
LCM(4941,4956) = 24487596 / 3
LCM(4941,4956) = 8162532

Least Common Multiple (LCM) of 4941 and 4956 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4941 and 4956. First we will calculate the prime factors of 4941 and 4956.

Prime Factorization of 4941

Prime factors of 4941 are 3, 61. Prime factorization of 4941 in exponential form is:

4941 = 34 × 611

Prime Factorization of 4956

Prime factors of 4956 are 2, 3, 7, 59. Prime factorization of 4956 in exponential form is:

4956 = 22 × 31 × 71 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 4941 and 4956.

LCM(4941,4956) = 34 × 611 × 22 × 71 × 591
LCM(4941,4956) = 8162532