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What is the Least Common Multiple of 89046 and 89051?

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 89046 and 89051 is 7929635346.

LCM(89046,89051) = 7929635346

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Least Common Multiple of 89046 and 89051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89046 and 89051, than apply into the LCM equation.

GCF(89046,89051) = 1
LCM(89046,89051) = ( 89046 × 89051) / 1
LCM(89046,89051) = 7929635346 / 1
LCM(89046,89051) = 7929635346

Least Common Multiple (LCM) of 89046 and 89051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89046 and 89051. First we will calculate the prime factors of 89046 and 89051.

Prime Factorization of 89046

Prime factors of 89046 are 2, 3, 17, 97. Prime factorization of 89046 in exponential form is:

89046 = 21 × 33 × 171 × 971

Prime Factorization of 89051

Prime factors of 89051 are 89051. Prime factorization of 89051 in exponential form is:

89051 = 890511

Now multiplying the highest exponent prime factors to calculate the LCM of 89046 and 89051.

LCM(89046,89051) = 21 × 33 × 171 × 971 × 890511
LCM(89046,89051) = 7929635346