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What is the Least Common Multiple of 44981 and 45001?

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 44981 and 45001 is 2024189981.

LCM(44981,45001) = 2024189981

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Least Common Multiple of 44981 and 45001 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44981 and 45001, than apply into the LCM equation.

GCF(44981,45001) = 1
LCM(44981,45001) = ( 44981 × 45001) / 1
LCM(44981,45001) = 2024189981 / 1
LCM(44981,45001) = 2024189981

Least Common Multiple (LCM) of 44981 and 45001 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44981 and 45001. First we will calculate the prime factors of 44981 and 45001.

Prime Factorization of 44981

Prime factors of 44981 are 31, 1451. Prime factorization of 44981 in exponential form is:

44981 = 311 × 14511

Prime Factorization of 45001

Prime factors of 45001 are 11, 4091. Prime factorization of 45001 in exponential form is:

45001 = 111 × 40911

Now multiplying the highest exponent prime factors to calculate the LCM of 44981 and 45001.

LCM(44981,45001) = 311 × 14511 × 111 × 40911
LCM(44981,45001) = 2024189981