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What is the Least Common Multiple of 93537 and 93556?

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 93537 and 93556 is 460576188.

LCM(93537,93556) = 460576188

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Least Common Multiple of 93537 and 93556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93537 and 93556, than apply into the LCM equation.

GCF(93537,93556) = 19
LCM(93537,93556) = ( 93537 × 93556) / 19
LCM(93537,93556) = 8750947572 / 19
LCM(93537,93556) = 460576188

Least Common Multiple (LCM) of 93537 and 93556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93537 and 93556. First we will calculate the prime factors of 93537 and 93556.

Prime Factorization of 93537

Prime factors of 93537 are 3, 19, 547. Prime factorization of 93537 in exponential form is:

93537 = 32 × 191 × 5471

Prime Factorization of 93556

Prime factors of 93556 are 2, 19, 1231. Prime factorization of 93556 in exponential form is:

93556 = 22 × 191 × 12311

Now multiplying the highest exponent prime factors to calculate the LCM of 93537 and 93556.

LCM(93537,93556) = 32 × 191 × 5471 × 22 × 12311
LCM(93537,93556) = 460576188