What is the Least Common Multiple of 45489 and 45493?

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 45489 and 45493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45489 and 45493, than apply into the LCM equation.

GCF(45489,45493) = 1
LCM(45489,45493) = ( 45489 × 45493) / 1
LCM(45489,45493) = 2069431077 / 1
LCM(45489,45493) = 2069431077

Least Common Multiple (LCM) of 45489 and 45493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45489 and 45493. First we will calculate the prime factors of 45489 and 45493.

Prime Factorization of 45489

Prime Factorization of 45493

Now multiplying the highest exponent prime factors to calculate the LCM of 45489 and 45493.

LCM(45489,45493) = 3¹ × 59¹ × 257¹ × 7¹ × 67¹ × 97¹
LCM(45489,45493) = 2069431077