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What is the Least Common Multiple of 88988 and 88995?

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 88988 and 88995 is 7919487060.

LCM(88988,88995) = 7919487060

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Least Common Multiple of 88988 and 88995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88988 and 88995, than apply into the LCM equation.

GCF(88988,88995) = 1
LCM(88988,88995) = ( 88988 × 88995) / 1
LCM(88988,88995) = 7919487060 / 1
LCM(88988,88995) = 7919487060

Least Common Multiple (LCM) of 88988 and 88995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88988 and 88995. First we will calculate the prime factors of 88988 and 88995.

Prime Factorization of 88988

Prime factors of 88988 are 2, 22247. Prime factorization of 88988 in exponential form is:

88988 = 22 × 222471

Prime Factorization of 88995

Prime factors of 88995 are 3, 5, 17, 349. Prime factorization of 88995 in exponential form is:

88995 = 31 × 51 × 171 × 3491

Now multiplying the highest exponent prime factors to calculate the LCM of 88988 and 88995.

LCM(88988,88995) = 22 × 222471 × 31 × 51 × 171 × 3491
LCM(88988,88995) = 7919487060