GCF and LCM Calculator Logo

What is the Least Common Multiple of 44522 and 44529?

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 44522 and 44529 is 1982520138.

LCM(44522,44529) = 1982520138

LCM Calculator and
and

Least Common Multiple of 44522 and 44529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44522 and 44529, than apply into the LCM equation.

GCF(44522,44529) = 1
LCM(44522,44529) = ( 44522 × 44529) / 1
LCM(44522,44529) = 1982520138 / 1
LCM(44522,44529) = 1982520138

Least Common Multiple (LCM) of 44522 and 44529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44522 and 44529. First we will calculate the prime factors of 44522 and 44529.

Prime Factorization of 44522

Prime factors of 44522 are 2, 113, 197. Prime factorization of 44522 in exponential form is:

44522 = 21 × 1131 × 1971

Prime Factorization of 44529

Prime factors of 44529 are 3, 14843. Prime factorization of 44529 in exponential form is:

44529 = 31 × 148431

Now multiplying the highest exponent prime factors to calculate the LCM of 44522 and 44529.

LCM(44522,44529) = 21 × 1131 × 1971 × 31 × 148431
LCM(44522,44529) = 1982520138