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What is the Least Common Multiple of 92635 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 92635 and 92639 is 8581613765.

LCM(92635,92639) = 8581613765

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Least Common Multiple of 92635 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 92635 and 92639, than apply into the LCM equation.

GCF(92635,92639) = 1
LCM(92635,92639) = ( 92635 × 92639) / 1
LCM(92635,92639) = 8581613765 / 1
LCM(92635,92639) = 8581613765

Least Common Multiple (LCM) of 92635 and 92639 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92635 and 92639. First we will calculate the prime factors of 92635 and 92639.

Prime Factorization of 92635

Prime factors of 92635 are 5, 97, 191. Prime factorization of 92635 in exponential form is:

92635 = 51 × 971 × 1911

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 92635 and 92639.

LCM(92635,92639) = 51 × 971 × 1911 × 926391
LCM(92635,92639) = 8581613765