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What is the Least Common Multiple of 44969 and 44977?

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 44969 and 44977 is 2022570713.

LCM(44969,44977) = 2022570713

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Least Common Multiple of 44969 and 44977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44969 and 44977, than apply into the LCM equation.

GCF(44969,44977) = 1
LCM(44969,44977) = ( 44969 × 44977) / 1
LCM(44969,44977) = 2022570713 / 1
LCM(44969,44977) = 2022570713

Least Common Multiple (LCM) of 44969 and 44977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44969 and 44977. First we will calculate the prime factors of 44969 and 44977.

Prime Factorization of 44969

Prime factors of 44969 are 193, 233. Prime factorization of 44969 in exponential form is:

44969 = 1931 × 2331

Prime Factorization of 44977

Prime factors of 44977 are 41, 1097. Prime factorization of 44977 in exponential form is:

44977 = 411 × 10971

Now multiplying the highest exponent prime factors to calculate the LCM of 44969 and 44977.

LCM(44969,44977) = 1931 × 2331 × 411 × 10971
LCM(44969,44977) = 2022570713