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What is the Least Common Multiple of 9086 and 9105?

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 9086 and 9105 is 82728030.

LCM(9086,9105) = 82728030

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Least Common Multiple of 9086 and 9105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9086 and 9105, than apply into the LCM equation.

GCF(9086,9105) = 1
LCM(9086,9105) = ( 9086 × 9105) / 1
LCM(9086,9105) = 82728030 / 1
LCM(9086,9105) = 82728030

Least Common Multiple (LCM) of 9086 and 9105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9086 and 9105. First we will calculate the prime factors of 9086 and 9105.

Prime Factorization of 9086

Prime factors of 9086 are 2, 7, 11, 59. Prime factorization of 9086 in exponential form is:

9086 = 21 × 71 × 111 × 591

Prime Factorization of 9105

Prime factors of 9105 are 3, 5, 607. Prime factorization of 9105 in exponential form is:

9105 = 31 × 51 × 6071

Now multiplying the highest exponent prime factors to calculate the LCM of 9086 and 9105.

LCM(9086,9105) = 21 × 71 × 111 × 591 × 31 × 51 × 6071
LCM(9086,9105) = 82728030