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What is the Least Common Multiple of 92650 and 92668?

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 92668 is 4292845100.

LCM(92650,92668) = 4292845100

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Least Common Multiple of 92650 and 92668 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 92668, than apply into the LCM equation.

GCF(92650,92668) = 2
LCM(92650,92668) = ( 92650 × 92668) / 2
LCM(92650,92668) = 8585690200 / 2
LCM(92650,92668) = 4292845100

Least Common Multiple (LCM) of 92650 and 92668 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92650 and 92668. First we will calculate the prime factors of 92650 and 92668.

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 92668

Prime factors of 92668 are 2, 23167. Prime factorization of 92668 in exponential form is:

92668 = 22 × 231671

Now multiplying the highest exponent prime factors to calculate the LCM of 92650 and 92668.

LCM(92650,92668) = 22 × 52 × 171 × 1091 × 231671
LCM(92650,92668) = 4292845100