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What is the Least Common Multiple of 92990 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 92990 and 92995 is 1729521010.

LCM(92990,92995) = 1729521010

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Least Common Multiple of 92990 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 92990 and 92995, than apply into the LCM equation.

GCF(92990,92995) = 5
LCM(92990,92995) = ( 92990 × 92995) / 5
LCM(92990,92995) = 8647605050 / 5
LCM(92990,92995) = 1729521010

Least Common Multiple (LCM) of 92990 and 92995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92990 and 92995. First we will calculate the prime factors of 92990 and 92995.

Prime Factorization of 92990

Prime factors of 92990 are 2, 5, 17, 547. Prime factorization of 92990 in exponential form is:

92990 = 21 × 51 × 171 × 5471

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 92990 and 92995.

LCM(92990,92995) = 21 × 51 × 171 × 5471 × 71 × 26571
LCM(92990,92995) = 1729521010