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What is the Least Common Multiple of 89019 and 89030?

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 89019 and 89030 is 7925361570.

LCM(89019,89030) = 7925361570

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Least Common Multiple of 89019 and 89030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89019 and 89030, than apply into the LCM equation.

GCF(89019,89030) = 1
LCM(89019,89030) = ( 89019 × 89030) / 1
LCM(89019,89030) = 7925361570 / 1
LCM(89019,89030) = 7925361570

Least Common Multiple (LCM) of 89019 and 89030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89019 and 89030. First we will calculate the prime factors of 89019 and 89030.

Prime Factorization of 89019

Prime factors of 89019 are 3, 7, 157. Prime factorization of 89019 in exponential form is:

89019 = 34 × 71 × 1571

Prime Factorization of 89030

Prime factors of 89030 are 2, 5, 29, 307. Prime factorization of 89030 in exponential form is:

89030 = 21 × 51 × 291 × 3071

Now multiplying the highest exponent prime factors to calculate the LCM of 89019 and 89030.

LCM(89019,89030) = 34 × 71 × 1571 × 21 × 51 × 291 × 3071
LCM(89019,89030) = 7925361570