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What is the Least Common Multiple of 92650 and 92660?

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 92650 and 92660 is 858494900.

LCM(92650,92660) = 858494900

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Least Common Multiple of 92650 and 92660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92650 and 92660, than apply into the LCM equation.

GCF(92650,92660) = 10
LCM(92650,92660) = ( 92650 × 92660) / 10
LCM(92650,92660) = 8584949000 / 10
LCM(92650,92660) = 858494900

Least Common Multiple (LCM) of 92650 and 92660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92650 and 92660. First we will calculate the prime factors of 92650 and 92660.

Prime Factorization of 92650

Prime factors of 92650 are 2, 5, 17, 109. Prime factorization of 92650 in exponential form is:

92650 = 21 × 52 × 171 × 1091

Prime Factorization of 92660

Prime factors of 92660 are 2, 5, 41, 113. Prime factorization of 92660 in exponential form is:

92660 = 22 × 51 × 411 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 92650 and 92660.

LCM(92650,92660) = 22 × 52 × 171 × 1091 × 411 × 1131
LCM(92650,92660) = 858494900