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What is the Least Common Multiple of 92532 and 92547?

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 92532 and 92547 is 2854519668.

LCM(92532,92547) = 2854519668

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Least Common Multiple of 92532 and 92547 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92532 and 92547, than apply into the LCM equation.

GCF(92532,92547) = 3
LCM(92532,92547) = ( 92532 × 92547) / 3
LCM(92532,92547) = 8563559004 / 3
LCM(92532,92547) = 2854519668

Least Common Multiple (LCM) of 92532 and 92547 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92532 and 92547. First we will calculate the prime factors of 92532 and 92547.

Prime Factorization of 92532

Prime factors of 92532 are 2, 3, 11, 701. Prime factorization of 92532 in exponential form is:

92532 = 22 × 31 × 111 × 7011

Prime Factorization of 92547

Prime factors of 92547 are 3, 7, 13, 113. Prime factorization of 92547 in exponential form is:

92547 = 32 × 71 × 131 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 92532 and 92547.

LCM(92532,92547) = 22 × 32 × 111 × 7011 × 71 × 131 × 1131
LCM(92532,92547) = 2854519668