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What is the Least Common Multiple of 44265 and 44276?

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 44265 and 44276 is 1959877140.

LCM(44265,44276) = 1959877140

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Least Common Multiple of 44265 and 44276 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44265 and 44276, than apply into the LCM equation.

GCF(44265,44276) = 1
LCM(44265,44276) = ( 44265 × 44276) / 1
LCM(44265,44276) = 1959877140 / 1
LCM(44265,44276) = 1959877140

Least Common Multiple (LCM) of 44265 and 44276 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44265 and 44276. First we will calculate the prime factors of 44265 and 44276.

Prime Factorization of 44265

Prime factors of 44265 are 3, 5, 13, 227. Prime factorization of 44265 in exponential form is:

44265 = 31 × 51 × 131 × 2271

Prime Factorization of 44276

Prime factors of 44276 are 2, 11069. Prime factorization of 44276 in exponential form is:

44276 = 22 × 110691

Now multiplying the highest exponent prime factors to calculate the LCM of 44265 and 44276.

LCM(44265,44276) = 31 × 51 × 131 × 2271 × 22 × 110691
LCM(44265,44276) = 1959877140