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What is the Least Common Multiple of 92626 and 92638?

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 92638 is 4290343694.

LCM(92626,92638) = 4290343694

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Least Common Multiple of 92626 and 92638 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 92638, than apply into the LCM equation.

GCF(92626,92638) = 2
LCM(92626,92638) = ( 92626 × 92638) / 2
LCM(92626,92638) = 8580687388 / 2
LCM(92626,92638) = 4290343694

Least Common Multiple (LCM) of 92626 and 92638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92626 and 92638. First we will calculate the prime factors of 92626 and 92638.

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 92638

Prime factors of 92638 are 2, 7, 13, 509. Prime factorization of 92638 in exponential form is:

92638 = 21 × 71 × 131 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 92626 and 92638.

LCM(92626,92638) = 21 × 291 × 15971 × 71 × 131 × 5091
LCM(92626,92638) = 4290343694