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What is the Least Common Multiple of 62537 and 62551?

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 62551 is 3911751887.

LCM(62537,62551) = 3911751887

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Least Common Multiple of 62537 and 62551 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 62551, than apply into the LCM equation.

GCF(62537,62551) = 1
LCM(62537,62551) = ( 62537 × 62551) / 1
LCM(62537,62551) = 3911751887 / 1
LCM(62537,62551) = 3911751887

Least Common Multiple (LCM) of 62537 and 62551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62537 and 62551. First we will calculate the prime factors of 62537 and 62551.

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 62551

Prime factors of 62551 are 71, 881. Prime factorization of 62551 in exponential form is:

62551 = 711 × 8811

Now multiplying the highest exponent prime factors to calculate the LCM of 62537 and 62551.

LCM(62537,62551) = 231 × 27191 × 711 × 8811
LCM(62537,62551) = 3911751887