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What is the Least Common Multiple of 4954 and 4970?

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 4954 and 4970 is 12310690.

LCM(4954,4970) = 12310690

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Least Common Multiple of 4954 and 4970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4954 and 4970, than apply into the LCM equation.

GCF(4954,4970) = 2
LCM(4954,4970) = ( 4954 × 4970) / 2
LCM(4954,4970) = 24621380 / 2
LCM(4954,4970) = 12310690

Least Common Multiple (LCM) of 4954 and 4970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4954 and 4970. First we will calculate the prime factors of 4954 and 4970.

Prime Factorization of 4954

Prime factors of 4954 are 2, 2477. Prime factorization of 4954 in exponential form is:

4954 = 21 × 24771

Prime Factorization of 4970

Prime factors of 4970 are 2, 5, 7, 71. Prime factorization of 4970 in exponential form is:

4970 = 21 × 51 × 71 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 4954 and 4970.

LCM(4954,4970) = 21 × 24771 × 51 × 71 × 711
LCM(4954,4970) = 12310690