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What is the Least Common Multiple of 66079 and 66088?

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 66079 and 66088 is 4367028952.

LCM(66079,66088) = 4367028952

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Least Common Multiple of 66079 and 66088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66079 and 66088, than apply into the LCM equation.

GCF(66079,66088) = 1
LCM(66079,66088) = ( 66079 × 66088) / 1
LCM(66079,66088) = 4367028952 / 1
LCM(66079,66088) = 4367028952

Least Common Multiple (LCM) of 66079 and 66088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66079 and 66088. First we will calculate the prime factors of 66079 and 66088.

Prime Factorization of 66079

Prime factors of 66079 are 13, 17, 23. Prime factorization of 66079 in exponential form is:

66079 = 132 × 171 × 231

Prime Factorization of 66088

Prime factors of 66088 are 2, 11, 751. Prime factorization of 66088 in exponential form is:

66088 = 23 × 111 × 7511

Now multiplying the highest exponent prime factors to calculate the LCM of 66079 and 66088.

LCM(66079,66088) = 132 × 171 × 231 × 23 × 111 × 7511
LCM(66079,66088) = 4367028952