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What is the Least Common Multiple of 88979 and 88998?

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 88979 and 88998 is 7918953042.

LCM(88979,88998) = 7918953042

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Least Common Multiple of 88979 and 88998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88979 and 88998, than apply into the LCM equation.

GCF(88979,88998) = 1
LCM(88979,88998) = ( 88979 × 88998) / 1
LCM(88979,88998) = 7918953042 / 1
LCM(88979,88998) = 7918953042

Least Common Multiple (LCM) of 88979 and 88998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88979 and 88998. First we will calculate the prime factors of 88979 and 88998.

Prime Factorization of 88979

Prime factors of 88979 are 11, 8089. Prime factorization of 88979 in exponential form is:

88979 = 111 × 80891

Prime Factorization of 88998

Prime factors of 88998 are 2, 3, 7, 13, 163. Prime factorization of 88998 in exponential form is:

88998 = 21 × 31 × 71 × 131 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 88979 and 88998.

LCM(88979,88998) = 111 × 80891 × 21 × 31 × 71 × 131 × 1631
LCM(88979,88998) = 7918953042