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What is the Least Common Multiple of 92775 and 92780?

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 92775 and 92780 is 1721532900.

LCM(92775,92780) = 1721532900

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Least Common Multiple of 92775 and 92780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92775 and 92780, than apply into the LCM equation.

GCF(92775,92780) = 5
LCM(92775,92780) = ( 92775 × 92780) / 5
LCM(92775,92780) = 8607664500 / 5
LCM(92775,92780) = 1721532900

Least Common Multiple (LCM) of 92775 and 92780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92775 and 92780. First we will calculate the prime factors of 92775 and 92780.

Prime Factorization of 92775

Prime factors of 92775 are 3, 5, 1237. Prime factorization of 92775 in exponential form is:

92775 = 31 × 52 × 12371

Prime Factorization of 92780

Prime factors of 92780 are 2, 5, 4639. Prime factorization of 92780 in exponential form is:

92780 = 22 × 51 × 46391

Now multiplying the highest exponent prime factors to calculate the LCM of 92775 and 92780.

LCM(92775,92780) = 31 × 52 × 12371 × 22 × 46391
LCM(92775,92780) = 1721532900