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What is the Least Common Multiple of 92260 and 92268?

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 92260 and 92268 is 2128161420.

LCM(92260,92268) = 2128161420

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Least Common Multiple of 92260 and 92268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92260 and 92268, than apply into the LCM equation.

GCF(92260,92268) = 4
LCM(92260,92268) = ( 92260 × 92268) / 4
LCM(92260,92268) = 8512645680 / 4
LCM(92260,92268) = 2128161420

Least Common Multiple (LCM) of 92260 and 92268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92260 and 92268. First we will calculate the prime factors of 92260 and 92268.

Prime Factorization of 92260

Prime factors of 92260 are 2, 5, 7, 659. Prime factorization of 92260 in exponential form is:

92260 = 22 × 51 × 71 × 6591

Prime Factorization of 92268

Prime factors of 92268 are 2, 3, 11, 233. Prime factorization of 92268 in exponential form is:

92268 = 22 × 32 × 111 × 2331

Now multiplying the highest exponent prime factors to calculate the LCM of 92260 and 92268.

LCM(92260,92268) = 22 × 51 × 71 × 6591 × 32 × 111 × 2331
LCM(92260,92268) = 2128161420