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What is the Least Common Multiple of 78697 and 78707?

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 78697 and 78707 is 6194004779.

LCM(78697,78707) = 6194004779

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Least Common Multiple of 78697 and 78707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 78697 and 78707, than apply into the LCM equation.

GCF(78697,78707) = 1
LCM(78697,78707) = ( 78697 × 78707) / 1
LCM(78697,78707) = 6194004779 / 1
LCM(78697,78707) = 6194004779

Least Common Multiple (LCM) of 78697 and 78707 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 78697 and 78707. First we will calculate the prime factors of 78697 and 78707.

Prime Factorization of 78697

Prime factors of 78697 are 78697. Prime factorization of 78697 in exponential form is:

78697 = 786971

Prime Factorization of 78707

Prime factors of 78707 are 78707. Prime factorization of 78707 in exponential form is:

78707 = 787071

Now multiplying the highest exponent prime factors to calculate the LCM of 78697 and 78707.

LCM(78697,78707) = 786971 × 787071
LCM(78697,78707) = 6194004779