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What is the Least Common Multiple of 62921 and 62937?

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 62921 and 62937 is 3960058977.

LCM(62921,62937) = 3960058977

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Least Common Multiple of 62921 and 62937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62921 and 62937, than apply into the LCM equation.

GCF(62921,62937) = 1
LCM(62921,62937) = ( 62921 × 62937) / 1
LCM(62921,62937) = 3960058977 / 1
LCM(62921,62937) = 3960058977

Least Common Multiple (LCM) of 62921 and 62937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62921 and 62937. First we will calculate the prime factors of 62921 and 62937.

Prime Factorization of 62921

Prime factors of 62921 are 62921. Prime factorization of 62921 in exponential form is:

62921 = 629211

Prime Factorization of 62937

Prime factors of 62937 are 3, 7, 37. Prime factorization of 62937 in exponential form is:

62937 = 35 × 71 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 62921 and 62937.

LCM(62921,62937) = 629211 × 35 × 71 × 371
LCM(62921,62937) = 3960058977