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What is the Least Common Multiple of 77070 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 77070 and 77088 is 990195360.

LCM(77070,77088) = 990195360

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Least Common Multiple of 77070 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 77070 and 77088, than apply into the LCM equation.

GCF(77070,77088) = 6
LCM(77070,77088) = ( 77070 × 77088) / 6
LCM(77070,77088) = 5941172160 / 6
LCM(77070,77088) = 990195360

Least Common Multiple (LCM) of 77070 and 77088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77070 and 77088. First we will calculate the prime factors of 77070 and 77088.

Prime Factorization of 77070

Prime factors of 77070 are 2, 3, 5, 7, 367. Prime factorization of 77070 in exponential form is:

77070 = 21 × 31 × 51 × 71 × 3671

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 77070 and 77088.

LCM(77070,77088) = 25 × 31 × 51 × 71 × 3671 × 111 × 731
LCM(77070,77088) = 990195360