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What is the Least Common Multiple of 44139 and 44155?

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 44139 and 44155 is 1948957545.

LCM(44139,44155) = 1948957545

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Least Common Multiple of 44139 and 44155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44139 and 44155, than apply into the LCM equation.

GCF(44139,44155) = 1
LCM(44139,44155) = ( 44139 × 44155) / 1
LCM(44139,44155) = 1948957545 / 1
LCM(44139,44155) = 1948957545

Least Common Multiple (LCM) of 44139 and 44155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44139 and 44155. First we will calculate the prime factors of 44139 and 44155.

Prime Factorization of 44139

Prime factors of 44139 are 3, 14713. Prime factorization of 44139 in exponential form is:

44139 = 31 × 147131

Prime Factorization of 44155

Prime factors of 44155 are 5, 8831. Prime factorization of 44155 in exponential form is:

44155 = 51 × 88311

Now multiplying the highest exponent prime factors to calculate the LCM of 44139 and 44155.

LCM(44139,44155) = 31 × 147131 × 51 × 88311
LCM(44139,44155) = 1948957545