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What is the Least Common Multiple of 88059 and 88066?

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 88059 and 88066 is 7755003894.

LCM(88059,88066) = 7755003894

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Least Common Multiple of 88059 and 88066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88059 and 88066, than apply into the LCM equation.

GCF(88059,88066) = 1
LCM(88059,88066) = ( 88059 × 88066) / 1
LCM(88059,88066) = 7755003894 / 1
LCM(88059,88066) = 7755003894

Least Common Multiple (LCM) of 88059 and 88066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88059 and 88066. First we will calculate the prime factors of 88059 and 88066.

Prime Factorization of 88059

Prime factors of 88059 are 3, 149, 197. Prime factorization of 88059 in exponential form is:

88059 = 31 × 1491 × 1971

Prime Factorization of 88066

Prime factors of 88066 are 2, 11, 4003. Prime factorization of 88066 in exponential form is:

88066 = 21 × 111 × 40031

Now multiplying the highest exponent prime factors to calculate the LCM of 88059 and 88066.

LCM(88059,88066) = 31 × 1491 × 1971 × 21 × 111 × 40031
LCM(88059,88066) = 7755003894