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What is the Least Common Multiple of 60779 and 60790?

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 60779 and 60790 is 3694755410.

LCM(60779,60790) = 3694755410

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Least Common Multiple of 60779 and 60790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60779 and 60790, than apply into the LCM equation.

GCF(60779,60790) = 1
LCM(60779,60790) = ( 60779 × 60790) / 1
LCM(60779,60790) = 3694755410 / 1
LCM(60779,60790) = 3694755410

Least Common Multiple (LCM) of 60779 and 60790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60779 and 60790. First we will calculate the prime factors of 60779 and 60790.

Prime Factorization of 60779

Prime factors of 60779 are 60779. Prime factorization of 60779 in exponential form is:

60779 = 607791

Prime Factorization of 60790

Prime factors of 60790 are 2, 5, 6079. Prime factorization of 60790 in exponential form is:

60790 = 21 × 51 × 60791

Now multiplying the highest exponent prime factors to calculate the LCM of 60779 and 60790.

LCM(60779,60790) = 607791 × 21 × 51 × 60791
LCM(60779,60790) = 3694755410