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What is the Least Common Multiple of 62737 and 62743?

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 62737 and 62743 is 3936307591.

LCM(62737,62743) = 3936307591

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Least Common Multiple of 62737 and 62743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62737 and 62743, than apply into the LCM equation.

GCF(62737,62743) = 1
LCM(62737,62743) = ( 62737 × 62743) / 1
LCM(62737,62743) = 3936307591 / 1
LCM(62737,62743) = 3936307591

Least Common Multiple (LCM) of 62737 and 62743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62737 and 62743. First we will calculate the prime factors of 62737 and 62743.

Prime Factorization of 62737

Prime factors of 62737 are 43, 1459. Prime factorization of 62737 in exponential form is:

62737 = 431 × 14591

Prime Factorization of 62743

Prime factors of 62743 are 62743. Prime factorization of 62743 in exponential form is:

62743 = 627431

Now multiplying the highest exponent prime factors to calculate the LCM of 62737 and 62743.

LCM(62737,62743) = 431 × 14591 × 627431
LCM(62737,62743) = 3936307591