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What is the Least Common Multiple of 92634 and 92641?

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 92634 and 92641 is 8581706394.

LCM(92634,92641) = 8581706394

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Least Common Multiple of 92634 and 92641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92634 and 92641, than apply into the LCM equation.

GCF(92634,92641) = 1
LCM(92634,92641) = ( 92634 × 92641) / 1
LCM(92634,92641) = 8581706394 / 1
LCM(92634,92641) = 8581706394

Least Common Multiple (LCM) of 92634 and 92641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92634 and 92641. First we will calculate the prime factors of 92634 and 92641.

Prime Factorization of 92634

Prime factors of 92634 are 2, 3, 15439. Prime factorization of 92634 in exponential form is:

92634 = 21 × 31 × 154391

Prime Factorization of 92641

Prime factors of 92641 are 92641. Prime factorization of 92641 in exponential form is:

92641 = 926411

Now multiplying the highest exponent prime factors to calculate the LCM of 92634 and 92641.

LCM(92634,92641) = 21 × 31 × 154391 × 926411
LCM(92634,92641) = 8581706394