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What is the Least Common Multiple of 62527 and 62537?

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 62527 and 62537 is 3910250999.

LCM(62527,62537) = 3910250999

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Least Common Multiple of 62527 and 62537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62527 and 62537, than apply into the LCM equation.

GCF(62527,62537) = 1
LCM(62527,62537) = ( 62527 × 62537) / 1
LCM(62527,62537) = 3910250999 / 1
LCM(62527,62537) = 3910250999

Least Common Multiple (LCM) of 62527 and 62537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62527 and 62537. First we will calculate the prime factors of 62527 and 62537.

Prime Factorization of 62527

Prime factors of 62527 are 31, 2017. Prime factorization of 62527 in exponential form is:

62527 = 311 × 20171

Prime Factorization of 62537

Prime factors of 62537 are 23, 2719. Prime factorization of 62537 in exponential form is:

62537 = 231 × 27191

Now multiplying the highest exponent prime factors to calculate the LCM of 62527 and 62537.

LCM(62527,62537) = 311 × 20171 × 231 × 27191
LCM(62527,62537) = 3910250999