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What is the Least Common Multiple of 92547 and 92560?

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 92547 and 92560 is 658934640.

LCM(92547,92560) = 658934640

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Least Common Multiple of 92547 and 92560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92547 and 92560, than apply into the LCM equation.

GCF(92547,92560) = 13
LCM(92547,92560) = ( 92547 × 92560) / 13
LCM(92547,92560) = 8566150320 / 13
LCM(92547,92560) = 658934640

Least Common Multiple (LCM) of 92547 and 92560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92547 and 92560. First we will calculate the prime factors of 92547 and 92560.

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

Prime Factorization of 92560

Prime factors of 92560 are 2, 5, 13, 89. Prime factorization of 92560 in exponential form is:

92560 = 24 × 51 × 131 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 92547 and 92560.

LCM(92547,92560) = 32 × 71 × 131 × 1131 × 24 × 51 × 891
LCM(92547,92560) = 658934640