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What is the Least Common Multiple of 62699 and 62715?

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 62699 and 62715 is 3932167785.

LCM(62699,62715) = 3932167785

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Least Common Multiple of 62699 and 62715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62699 and 62715, than apply into the LCM equation.

GCF(62699,62715) = 1
LCM(62699,62715) = ( 62699 × 62715) / 1
LCM(62699,62715) = 3932167785 / 1
LCM(62699,62715) = 3932167785

Least Common Multiple (LCM) of 62699 and 62715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62699 and 62715. First we will calculate the prime factors of 62699 and 62715.

Prime Factorization of 62699

Prime factors of 62699 are 7, 13, 53. Prime factorization of 62699 in exponential form is:

62699 = 71 × 132 × 531

Prime Factorization of 62715

Prime factors of 62715 are 3, 5, 37, 113. Prime factorization of 62715 in exponential form is:

62715 = 31 × 51 × 371 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 62699 and 62715.

LCM(62699,62715) = 71 × 132 × 531 × 31 × 51 × 371 × 1131
LCM(62699,62715) = 3932167785