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What is the Least Common Multiple of 44947 and 44955?

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 44947 and 44955 is 2020592385.

LCM(44947,44955) = 2020592385

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Least Common Multiple of 44947 and 44955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44947 and 44955, than apply into the LCM equation.

GCF(44947,44955) = 1
LCM(44947,44955) = ( 44947 × 44955) / 1
LCM(44947,44955) = 2020592385 / 1
LCM(44947,44955) = 2020592385

Least Common Multiple (LCM) of 44947 and 44955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44947 and 44955. First we will calculate the prime factors of 44947 and 44955.

Prime Factorization of 44947

Prime factors of 44947 are 7, 6421. Prime factorization of 44947 in exponential form is:

44947 = 71 × 64211

Prime Factorization of 44955

Prime factors of 44955 are 3, 5, 37. Prime factorization of 44955 in exponential form is:

44955 = 35 × 51 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 44947 and 44955.

LCM(44947,44955) = 71 × 64211 × 35 × 51 × 371
LCM(44947,44955) = 2020592385