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What is the Least Common Multiple of 39079 and 39087?

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 39079 and 39087 is 1527480873.

LCM(39079,39087) = 1527480873

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Least Common Multiple of 39079 and 39087 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39079 and 39087, than apply into the LCM equation.

GCF(39079,39087) = 1
LCM(39079,39087) = ( 39079 × 39087) / 1
LCM(39079,39087) = 1527480873 / 1
LCM(39079,39087) = 1527480873

Least Common Multiple (LCM) of 39079 and 39087 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39079 and 39087. First we will calculate the prime factors of 39079 and 39087.

Prime Factorization of 39079

Prime factors of 39079 are 39079. Prime factorization of 39079 in exponential form is:

39079 = 390791

Prime Factorization of 39087

Prime factors of 39087 are 3, 43, 101. Prime factorization of 39087 in exponential form is:

39087 = 32 × 431 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 39079 and 39087.

LCM(39079,39087) = 390791 × 32 × 431 × 1011
LCM(39079,39087) = 1527480873