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What is the Least Common Multiple of 92505 and 92512?

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 92505 and 92512 is 1222546080.

LCM(92505,92512) = 1222546080

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Least Common Multiple of 92505 and 92512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92505 and 92512, than apply into the LCM equation.

GCF(92505,92512) = 7
LCM(92505,92512) = ( 92505 × 92512) / 7
LCM(92505,92512) = 8557822560 / 7
LCM(92505,92512) = 1222546080

Least Common Multiple (LCM) of 92505 and 92512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92505 and 92512. First we will calculate the prime factors of 92505 and 92512.

Prime Factorization of 92505

Prime factors of 92505 are 3, 5, 7, 881. Prime factorization of 92505 in exponential form is:

92505 = 31 × 51 × 71 × 8811

Prime Factorization of 92512

Prime factors of 92512 are 2, 7, 59. Prime factorization of 92512 in exponential form is:

92512 = 25 × 72 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 92505 and 92512.

LCM(92505,92512) = 31 × 51 × 72 × 8811 × 25 × 591
LCM(92505,92512) = 1222546080