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What is the Least Common Multiple of 92770 and 92775?

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 92770 and 92775 is 1721347350.

LCM(92770,92775) = 1721347350

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Least Common Multiple of 92770 and 92775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92770 and 92775, than apply into the LCM equation.

GCF(92770,92775) = 5
LCM(92770,92775) = ( 92770 × 92775) / 5
LCM(92770,92775) = 8606736750 / 5
LCM(92770,92775) = 1721347350

Least Common Multiple (LCM) of 92770 and 92775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92770 and 92775. First we will calculate the prime factors of 92770 and 92775.

Prime Factorization of 92770

Prime factors of 92770 are 2, 5, 9277. Prime factorization of 92770 in exponential form is:

92770 = 21 × 51 × 92771

Prime Factorization of 92775

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

92775 = 31 × 52 × 12371

Now multiplying the highest exponent prime factors to calculate the LCM of 92770 and 92775.

LCM(92770,92775) = 21 × 52 × 92771 × 31 × 12371
LCM(92770,92775) = 1721347350