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What is the Least Common Multiple of 92987 and 92995?

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 92987 and 92995 is 8647326065.

LCM(92987,92995) = 8647326065

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Least Common Multiple of 92987 and 92995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92987 and 92995, than apply into the LCM equation.

GCF(92987,92995) = 1
LCM(92987,92995) = ( 92987 × 92995) / 1
LCM(92987,92995) = 8647326065 / 1
LCM(92987,92995) = 8647326065

Least Common Multiple (LCM) of 92987 and 92995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92987 and 92995. First we will calculate the prime factors of 92987 and 92995.

Prime Factorization of 92987

Prime factors of 92987 are 92987. Prime factorization of 92987 in exponential form is:

92987 = 929871

Prime Factorization of 92995

Prime factors of 92995 are 5, 7, 2657. Prime factorization of 92995 in exponential form is:

92995 = 51 × 71 × 26571

Now multiplying the highest exponent prime factors to calculate the LCM of 92987 and 92995.

LCM(92987,92995) = 929871 × 51 × 71 × 26571
LCM(92987,92995) = 8647326065