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What is the Least Common Multiple of 77005 and 77020?

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 77020 is 1186185020.

LCM(77005,77020) = 1186185020

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Least Common Multiple of 77005 and 77020 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 77020, than apply into the LCM equation.

GCF(77005,77020) = 5
LCM(77005,77020) = ( 77005 × 77020) / 5
LCM(77005,77020) = 5930925100 / 5
LCM(77005,77020) = 1186185020

Least Common Multiple (LCM) of 77005 and 77020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77005 and 77020. First we will calculate the prime factors of 77005 and 77020.

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 77020

Prime factors of 77020 are 2, 5, 3851. Prime factorization of 77020 in exponential form is:

77020 = 22 × 51 × 38511

Now multiplying the highest exponent prime factors to calculate the LCM of 77005 and 77020.

LCM(77005,77020) = 51 × 154011 × 22 × 38511
LCM(77005,77020) = 1186185020