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What is the Least Common Multiple of 77081 and 77088?

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 77081 and 77088 is 5942020128.

LCM(77081,77088) = 5942020128

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Least Common Multiple of 77081 and 77088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77081 and 77088, than apply into the LCM equation.

GCF(77081,77088) = 1
LCM(77081,77088) = ( 77081 × 77088) / 1
LCM(77081,77088) = 5942020128 / 1
LCM(77081,77088) = 5942020128

Least Common Multiple (LCM) of 77081 and 77088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77081 and 77088. First we will calculate the prime factors of 77081 and 77088.

Prime Factorization of 77081

Prime factors of 77081 are 77081. Prime factorization of 77081 in exponential form is:

77081 = 770811

Prime Factorization of 77088

Prime factors of 77088 are 2, 3, 11, 73. Prime factorization of 77088 in exponential form is:

77088 = 25 × 31 × 111 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 77081 and 77088.

LCM(77081,77088) = 770811 × 25 × 31 × 111 × 731
LCM(77081,77088) = 5942020128