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What is the Least Common Multiple of 44115 and 44135?

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 44115 and 44135 is 389403105.

LCM(44115,44135) = 389403105

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Least Common Multiple of 44115 and 44135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44115 and 44135, than apply into the LCM equation.

GCF(44115,44135) = 5
LCM(44115,44135) = ( 44115 × 44135) / 5
LCM(44115,44135) = 1947015525 / 5
LCM(44115,44135) = 389403105

Least Common Multiple (LCM) of 44115 and 44135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44115 and 44135. First we will calculate the prime factors of 44115 and 44135.

Prime Factorization of 44115

Prime factors of 44115 are 3, 5, 17, 173. Prime factorization of 44115 in exponential form is:

44115 = 31 × 51 × 171 × 1731

Prime Factorization of 44135

Prime factors of 44135 are 5, 7, 13, 97. Prime factorization of 44135 in exponential form is:

44135 = 51 × 71 × 131 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 44115 and 44135.

LCM(44115,44135) = 31 × 51 × 171 × 1731 × 71 × 131 × 971
LCM(44115,44135) = 389403105