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What is the Least Common Multiple of 4919 and 4937?

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 4919 and 4937 is 24285103.

LCM(4919,4937) = 24285103

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Least Common Multiple of 4919 and 4937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4919 and 4937, than apply into the LCM equation.

GCF(4919,4937) = 1
LCM(4919,4937) = ( 4919 × 4937) / 1
LCM(4919,4937) = 24285103 / 1
LCM(4919,4937) = 24285103

Least Common Multiple (LCM) of 4919 and 4937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4919 and 4937. First we will calculate the prime factors of 4919 and 4937.

Prime Factorization of 4919

Prime factors of 4919 are 4919. Prime factorization of 4919 in exponential form is:

4919 = 49191

Prime Factorization of 4937

Prime factors of 4937 are 4937. Prime factorization of 4937 in exponential form is:

4937 = 49371

Now multiplying the highest exponent prime factors to calculate the LCM of 4919 and 4937.

LCM(4919,4937) = 49191 × 49371
LCM(4919,4937) = 24285103