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What is the Least Common Multiple of 62537 and 62555?

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 62537 and 62555 is 3912002035.

LCM(62537,62555) = 3912002035

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Least Common Multiple of 62537 and 62555 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62537 and 62555, than apply into the LCM equation.

GCF(62537,62555) = 1
LCM(62537,62555) = ( 62537 × 62555) / 1
LCM(62537,62555) = 3912002035 / 1
LCM(62537,62555) = 3912002035

Least Common Multiple (LCM) of 62537 and 62555 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62537 and 62555. First we will calculate the prime factors of 62537 and 62555.

Prime Factorization of 62537

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

62537 = 231 × 27191

Prime Factorization of 62555

Prime factors of 62555 are 5, 12511. Prime factorization of 62555 in exponential form is:

62555 = 51 × 125111

Now multiplying the highest exponent prime factors to calculate the LCM of 62537 and 62555.

LCM(62537,62555) = 231 × 27191 × 51 × 125111
LCM(62537,62555) = 3912002035