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What is the Least Common Multiple of 92725 and 92745?

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 92725 and 92745 is 1719956025.

LCM(92725,92745) = 1719956025

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Least Common Multiple of 92725 and 92745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92725 and 92745, than apply into the LCM equation.

GCF(92725,92745) = 5
LCM(92725,92745) = ( 92725 × 92745) / 5
LCM(92725,92745) = 8599780125 / 5
LCM(92725,92745) = 1719956025

Least Common Multiple (LCM) of 92725 and 92745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92725 and 92745. First we will calculate the prime factors of 92725 and 92745.

Prime Factorization of 92725

Prime factors of 92725 are 5, 3709. Prime factorization of 92725 in exponential form is:

92725 = 52 × 37091

Prime Factorization of 92745

Prime factors of 92745 are 3, 5, 229. Prime factorization of 92745 in exponential form is:

92745 = 34 × 51 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 92725 and 92745.

LCM(92725,92745) = 52 × 37091 × 34 × 2291
LCM(92725,92745) = 1719956025