What is the Least Common Multiple of 45441 and 45447?

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 of 45441 and 45447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45441 and 45447, than apply into the LCM equation.

GCF(45441,45447) = 3
LCM(45441,45447) = ( 45441 × 45447) / 3
LCM(45441,45447) = 2065157127 / 3
LCM(45441,45447) = 688385709

Least Common Multiple (LCM) of 45441 and 45447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45441 and 45447. First we will calculate the prime factors of 45441 and 45447.

Prime Factorization of 45441

Prime Factorization of 45447

Now multiplying the highest exponent prime factors to calculate the LCM of 45441 and 45447.

LCM(45441,45447) = 3⁵ × 11¹ × 17¹ × 15149¹
LCM(45441,45447) = 688385709