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What is the Least Common Multiple of 4941 and 4948?

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 4948 is 24448068.

LCM(4941,4948) = 24448068

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Least Common Multiple of 4941 and 4948 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 4948, than apply into the LCM equation.

GCF(4941,4948) = 1
LCM(4941,4948) = ( 4941 × 4948) / 1
LCM(4941,4948) = 24448068 / 1
LCM(4941,4948) = 24448068

Least Common Multiple (LCM) of 4941 and 4948 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4941 and 4948. First we will calculate the prime factors of 4941 and 4948.

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 4948

Prime factors of 4948 are 2, 1237. Prime factorization of 4948 in exponential form is:

4948 = 22 × 12371

Now multiplying the highest exponent prime factors to calculate the LCM of 4941 and 4948.

LCM(4941,4948) = 34 × 611 × 22 × 12371
LCM(4941,4948) = 24448068