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What is the Least Common Multiple of 44115 and 44123?

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 44123 is 1946486145.

LCM(44115,44123) = 1946486145

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Least Common Multiple of 44115 and 44123 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 44123, than apply into the LCM equation.

GCF(44115,44123) = 1
LCM(44115,44123) = ( 44115 × 44123) / 1
LCM(44115,44123) = 1946486145 / 1
LCM(44115,44123) = 1946486145

Least Common Multiple (LCM) of 44115 and 44123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44115 and 44123. First we will calculate the prime factors of 44115 and 44123.

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 44123

Prime factors of 44123 are 44123. Prime factorization of 44123 in exponential form is:

44123 = 441231

Now multiplying the highest exponent prime factors to calculate the LCM of 44115 and 44123.

LCM(44115,44123) = 31 × 51 × 171 × 1731 × 441231
LCM(44115,44123) = 1946486145