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What is the Least Common Multiple of 76071 and 76079?

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 76071 and 76079 is 5787405609.

LCM(76071,76079) = 5787405609

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Least Common Multiple of 76071 and 76079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76071 and 76079, than apply into the LCM equation.

GCF(76071,76079) = 1
LCM(76071,76079) = ( 76071 × 76079) / 1
LCM(76071,76079) = 5787405609 / 1
LCM(76071,76079) = 5787405609

Least Common Multiple (LCM) of 76071 and 76079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76071 and 76079. First we will calculate the prime factors of 76071 and 76079.

Prime Factorization of 76071

Prime factors of 76071 are 3, 25357. Prime factorization of 76071 in exponential form is:

76071 = 31 × 253571

Prime Factorization of 76079

Prime factors of 76079 are 76079. Prime factorization of 76079 in exponential form is:

76079 = 760791

Now multiplying the highest exponent prime factors to calculate the LCM of 76071 and 76079.

LCM(76071,76079) = 31 × 253571 × 760791
LCM(76071,76079) = 5787405609