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What is the Least Common Multiple of 93079 and 93088?

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 93079 and 93088 is 8664537952.

LCM(93079,93088) = 8664537952

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Least Common Multiple of 93079 and 93088 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93079 and 93088, than apply into the LCM equation.

GCF(93079,93088) = 1
LCM(93079,93088) = ( 93079 × 93088) / 1
LCM(93079,93088) = 8664537952 / 1
LCM(93079,93088) = 8664537952

Least Common Multiple (LCM) of 93079 and 93088 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93079 and 93088. First we will calculate the prime factors of 93079 and 93088.

Prime Factorization of 93079

Prime factors of 93079 are 7, 13297. Prime factorization of 93079 in exponential form is:

93079 = 71 × 132971

Prime Factorization of 93088

Prime factors of 93088 are 2, 2909. Prime factorization of 93088 in exponential form is:

93088 = 25 × 29091

Now multiplying the highest exponent prime factors to calculate the LCM of 93079 and 93088.

LCM(93079,93088) = 71 × 132971 × 25 × 29091
LCM(93079,93088) = 8664537952