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What is the Least Common Multiple of 62917 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 62917 and 62937 is 3959807229.

LCM(62917,62937) = 3959807229

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Least Common Multiple of 62917 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 62917 and 62937, than apply into the LCM equation.

GCF(62917,62937) = 1
LCM(62917,62937) = ( 62917 × 62937) / 1
LCM(62917,62937) = 3959807229 / 1
LCM(62917,62937) = 3959807229

Least Common Multiple (LCM) of 62917 and 62937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62917 and 62937. First we will calculate the prime factors of 62917 and 62937.

Prime Factorization of 62917

Prime factors of 62917 are 17, 3701. Prime factorization of 62917 in exponential form is:

62917 = 171 × 37011

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 62917 and 62937.

LCM(62917,62937) = 171 × 37011 × 35 × 71 × 371
LCM(62917,62937) = 3959807229