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What is the Least Common Multiple of 92250 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 92250 and 92268 is 472873500.

LCM(92250,92268) = 472873500

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Least Common Multiple of 92250 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 92250 and 92268, than apply into the LCM equation.

GCF(92250,92268) = 18
LCM(92250,92268) = ( 92250 × 92268) / 18
LCM(92250,92268) = 8511723000 / 18
LCM(92250,92268) = 472873500

Least Common Multiple (LCM) of 92250 and 92268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92250 and 92268. First we will calculate the prime factors of 92250 and 92268.

Prime Factorization of 92250

Prime factors of 92250 are 2, 3, 5, 41. Prime factorization of 92250 in exponential form is:

92250 = 21 × 32 × 53 × 411

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 92250 and 92268.

LCM(92250,92268) = 22 × 32 × 53 × 411 × 111 × 2331
LCM(92250,92268) = 472873500