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What is the Least Common Multiple of 94679 and 94692?

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 94679 and 94692 is 689641836.

LCM(94679,94692) = 689641836

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Least Common Multiple of 94679 and 94692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94679 and 94692, than apply into the LCM equation.

GCF(94679,94692) = 13
LCM(94679,94692) = ( 94679 × 94692) / 13
LCM(94679,94692) = 8965343868 / 13
LCM(94679,94692) = 689641836

Least Common Multiple (LCM) of 94679 and 94692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94679 and 94692. First we will calculate the prime factors of 94679 and 94692.

Prime Factorization of 94679

Prime factors of 94679 are 13, 7283. Prime factorization of 94679 in exponential form is:

94679 = 131 × 72831

Prime Factorization of 94692

Prime factors of 94692 are 2, 3, 13, 607. Prime factorization of 94692 in exponential form is:

94692 = 22 × 31 × 131 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 94679 and 94692.

LCM(94679,94692) = 131 × 72831 × 22 × 31 × 6071
LCM(94679,94692) = 689641836