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What is the Least Common Multiple of 92577 and 92592?

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 92577 and 92592 is 2857296528.

LCM(92577,92592) = 2857296528

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Least Common Multiple of 92577 and 92592 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92577 and 92592, than apply into the LCM equation.

GCF(92577,92592) = 3
LCM(92577,92592) = ( 92577 × 92592) / 3
LCM(92577,92592) = 8571889584 / 3
LCM(92577,92592) = 2857296528

Least Common Multiple (LCM) of 92577 and 92592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92577 and 92592. First we will calculate the prime factors of 92577 and 92592.

Prime Factorization of 92577

Prime factors of 92577 are 3, 30859. Prime factorization of 92577 in exponential form is:

92577 = 31 × 308591

Prime Factorization of 92592

Prime factors of 92592 are 2, 3, 643. Prime factorization of 92592 in exponential form is:

92592 = 24 × 32 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 92577 and 92592.

LCM(92577,92592) = 32 × 308591 × 24 × 6431
LCM(92577,92592) = 2857296528