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What is the Least Common Multiple of 8692 and 8701?

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 8692 and 8701 is 75629092.

LCM(8692,8701) = 75629092

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Least Common Multiple of 8692 and 8701 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8692 and 8701, than apply into the LCM equation.

GCF(8692,8701) = 1
LCM(8692,8701) = ( 8692 × 8701) / 1
LCM(8692,8701) = 75629092 / 1
LCM(8692,8701) = 75629092

Least Common Multiple (LCM) of 8692 and 8701 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8692 and 8701. First we will calculate the prime factors of 8692 and 8701.

Prime Factorization of 8692

Prime factors of 8692 are 2, 41, 53. Prime factorization of 8692 in exponential form is:

8692 = 22 × 411 × 531

Prime Factorization of 8701

Prime factors of 8701 are 7, 11, 113. Prime factorization of 8701 in exponential form is:

8701 = 71 × 111 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 8692 and 8701.

LCM(8692,8701) = 22 × 411 × 531 × 71 × 111 × 1131
LCM(8692,8701) = 75629092