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What is the Least Common Multiple of 4921 and 4941?

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 4921 and 4941 is 24314661.

LCM(4921,4941) = 24314661

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Least Common Multiple of 4921 and 4941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4921 and 4941, than apply into the LCM equation.

GCF(4921,4941) = 1
LCM(4921,4941) = ( 4921 × 4941) / 1
LCM(4921,4941) = 24314661 / 1
LCM(4921,4941) = 24314661

Least Common Multiple (LCM) of 4921 and 4941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4921 and 4941. First we will calculate the prime factors of 4921 and 4941.

Prime Factorization of 4921

Prime factors of 4921 are 7, 19, 37. Prime factorization of 4921 in exponential form is:

4921 = 71 × 191 × 371

Prime Factorization of 4941

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

4941 = 34 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 4921 and 4941.

LCM(4921,4941) = 71 × 191 × 371 × 34 × 611
LCM(4921,4941) = 24314661