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What is the Least Common Multiple of 93053 and 93072?

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 93053 and 93072 is 8660628816.

LCM(93053,93072) = 8660628816

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Least Common Multiple of 93053 and 93072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93053 and 93072, than apply into the LCM equation.

GCF(93053,93072) = 1
LCM(93053,93072) = ( 93053 × 93072) / 1
LCM(93053,93072) = 8660628816 / 1
LCM(93053,93072) = 8660628816

Least Common Multiple (LCM) of 93053 and 93072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93053 and 93072. First we will calculate the prime factors of 93053 and 93072.

Prime Factorization of 93053

Prime factors of 93053 are 93053. Prime factorization of 93053 in exponential form is:

93053 = 930531

Prime Factorization of 93072

Prime factors of 93072 are 2, 3, 7, 277. Prime factorization of 93072 in exponential form is:

93072 = 24 × 31 × 71 × 2771

Now multiplying the highest exponent prime factors to calculate the LCM of 93053 and 93072.

LCM(93053,93072) = 930531 × 24 × 31 × 71 × 2771
LCM(93053,93072) = 8660628816