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What is the Least Common Multiple of 92674 and 92689?

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 92674 and 92689 is 8589860386.

LCM(92674,92689) = 8589860386

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Least Common Multiple of 92674 and 92689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92674 and 92689, than apply into the LCM equation.

GCF(92674,92689) = 1
LCM(92674,92689) = ( 92674 × 92689) / 1
LCM(92674,92689) = 8589860386 / 1
LCM(92674,92689) = 8589860386

Least Common Multiple (LCM) of 92674 and 92689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92674 and 92689. First we will calculate the prime factors of 92674 and 92689.

Prime Factorization of 92674

Prime factors of 92674 are 2, 46337. Prime factorization of 92674 in exponential form is:

92674 = 21 × 463371

Prime Factorization of 92689

Prime factors of 92689 are 59, 1571. Prime factorization of 92689 in exponential form is:

92689 = 591 × 15711

Now multiplying the highest exponent prime factors to calculate the LCM of 92674 and 92689.

LCM(92674,92689) = 21 × 463371 × 591 × 15711
LCM(92674,92689) = 8589860386