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What is the Least Common Multiple of 77005 and 77015?

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 77005 and 77015 is 1186108015.

LCM(77005,77015) = 1186108015

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Least Common Multiple of 77005 and 77015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77005 and 77015, than apply into the LCM equation.

GCF(77005,77015) = 5
LCM(77005,77015) = ( 77005 × 77015) / 5
LCM(77005,77015) = 5930540075 / 5
LCM(77005,77015) = 1186108015

Least Common Multiple (LCM) of 77005 and 77015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77005 and 77015. First we will calculate the prime factors of 77005 and 77015.

Prime Factorization of 77005

Prime factors of 77005 are 5, 15401. Prime factorization of 77005 in exponential form is:

77005 = 51 × 154011

Prime Factorization of 77015

Prime factors of 77015 are 5, 73, 211. Prime factorization of 77015 in exponential form is:

77015 = 51 × 731 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 77005 and 77015.

LCM(77005,77015) = 51 × 154011 × 731 × 2111
LCM(77005,77015) = 1186108015