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What is the Least Common Multiple of 92626 and 92639?

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 92626 and 92639 is 8580780014.

LCM(92626,92639) = 8580780014

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Least Common Multiple of 92626 and 92639 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92626 and 92639, than apply into the LCM equation.

GCF(92626,92639) = 1
LCM(92626,92639) = ( 92626 × 92639) / 1
LCM(92626,92639) = 8580780014 / 1
LCM(92626,92639) = 8580780014

Least Common Multiple (LCM) of 92626 and 92639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92626 and 92639. First we will calculate the prime factors of 92626 and 92639.

Prime Factorization of 92626

Prime factors of 92626 are 2, 29, 1597. Prime factorization of 92626 in exponential form is:

92626 = 21 × 291 × 15971

Prime Factorization of 92639

Prime factors of 92639 are 92639. Prime factorization of 92639 in exponential form is:

92639 = 926391

Now multiplying the highest exponent prime factors to calculate the LCM of 92626 and 92639.

LCM(92626,92639) = 21 × 291 × 15971 × 926391
LCM(92626,92639) = 8580780014