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What is the Least Common Multiple of 50727 and 50737?

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 50727 and 50737 is 2573735799.

LCM(50727,50737) = 2573735799

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Least Common Multiple of 50727 and 50737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50727 and 50737, than apply into the LCM equation.

GCF(50727,50737) = 1
LCM(50727,50737) = ( 50727 × 50737) / 1
LCM(50727,50737) = 2573735799 / 1
LCM(50727,50737) = 2573735799

Least Common Multiple (LCM) of 50727 and 50737 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50727 and 50737. First we will calculate the prime factors of 50727 and 50737.

Prime Factorization of 50727

Prime factors of 50727 are 3, 37, 457. Prime factorization of 50727 in exponential form is:

50727 = 31 × 371 × 4571

Prime Factorization of 50737

Prime factors of 50737 are 113, 449. Prime factorization of 50737 in exponential form is:

50737 = 1131 × 4491

Now multiplying the highest exponent prime factors to calculate the LCM of 50727 and 50737.

LCM(50727,50737) = 31 × 371 × 4571 × 1131 × 4491
LCM(50727,50737) = 2573735799