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What is the Least Common Multiple of 89030 and 89043?

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 89030 and 89043 is 7927498290.

LCM(89030,89043) = 7927498290

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Least Common Multiple of 89030 and 89043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89030 and 89043, than apply into the LCM equation.

GCF(89030,89043) = 1
LCM(89030,89043) = ( 89030 × 89043) / 1
LCM(89030,89043) = 7927498290 / 1
LCM(89030,89043) = 7927498290

Least Common Multiple (LCM) of 89030 and 89043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89030 and 89043. First we will calculate the prime factors of 89030 and 89043.

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

Prime Factorization of 89043

Prime factors of 89043 are 3, 67, 443. Prime factorization of 89043 in exponential form is:

89043 = 31 × 671 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 89030 and 89043.

LCM(89030,89043) = 21 × 51 × 291 × 3071 × 31 × 671 × 4431
LCM(89030,89043) = 7927498290