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What is the Least Common Multiple of 93472 and 93489?

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 93472 and 93489 is 8738603808.

LCM(93472,93489) = 8738603808

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Least Common Multiple of 93472 and 93489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93472 and 93489, than apply into the LCM equation.

GCF(93472,93489) = 1
LCM(93472,93489) = ( 93472 × 93489) / 1
LCM(93472,93489) = 8738603808 / 1
LCM(93472,93489) = 8738603808

Least Common Multiple (LCM) of 93472 and 93489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93472 and 93489. First we will calculate the prime factors of 93472 and 93489.

Prime Factorization of 93472

Prime factors of 93472 are 2, 23, 127. Prime factorization of 93472 in exponential form is:

93472 = 25 × 231 × 1271

Prime Factorization of 93489

Prime factors of 93489 are 3, 11, 2833. Prime factorization of 93489 in exponential form is:

93489 = 31 × 111 × 28331

Now multiplying the highest exponent prime factors to calculate the LCM of 93472 and 93489.

LCM(93472,93489) = 25 × 231 × 1271 × 31 × 111 × 28331
LCM(93472,93489) = 8738603808