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What is the Least Common Multiple of 89372 and 89383?

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 89372 and 89383 is 7988337476.

LCM(89372,89383) = 7988337476

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Least Common Multiple of 89372 and 89383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89372 and 89383, than apply into the LCM equation.

GCF(89372,89383) = 1
LCM(89372,89383) = ( 89372 × 89383) / 1
LCM(89372,89383) = 7988337476 / 1
LCM(89372,89383) = 7988337476

Least Common Multiple (LCM) of 89372 and 89383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89372 and 89383. First we will calculate the prime factors of 89372 and 89383.

Prime Factorization of 89372

Prime factors of 89372 are 2, 22343. Prime factorization of 89372 in exponential form is:

89372 = 22 × 223431

Prime Factorization of 89383

Prime factors of 89383 are 7, 113. Prime factorization of 89383 in exponential form is:

89383 = 71 × 1132

Now multiplying the highest exponent prime factors to calculate the LCM of 89372 and 89383.

LCM(89372,89383) = 22 × 223431 × 71 × 1132
LCM(89372,89383) = 7988337476