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What is the Least Common Multiple of 92722 and 92736?

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 92722 and 92736 is 614190528.

LCM(92722,92736) = 614190528

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Least Common Multiple of 92722 and 92736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92722 and 92736, than apply into the LCM equation.

GCF(92722,92736) = 14
LCM(92722,92736) = ( 92722 × 92736) / 14
LCM(92722,92736) = 8598667392 / 14
LCM(92722,92736) = 614190528

Least Common Multiple (LCM) of 92722 and 92736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92722 and 92736. First we will calculate the prime factors of 92722 and 92736.

Prime Factorization of 92722

Prime factors of 92722 are 2, 7, 37, 179. Prime factorization of 92722 in exponential form is:

92722 = 21 × 71 × 371 × 1791

Prime Factorization of 92736

Prime factors of 92736 are 2, 3, 7, 23. Prime factorization of 92736 in exponential form is:

92736 = 26 × 32 × 71 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 92722 and 92736.

LCM(92722,92736) = 26 × 71 × 371 × 1791 × 32 × 231
LCM(92722,92736) = 614190528