What is the Least Common Multiple of 45489 and 45507?

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 45507 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 45507, than apply into the LCM equation.

GCF(45489,45507) = 3
LCM(45489,45507) = ( 45489 × 45507) / 3
LCM(45489,45507) = 2070067923 / 3
LCM(45489,45507) = 690022641

Least Common Multiple (LCM) of 45489 and 45507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45489 and 45507. First we will calculate the prime factors of 45489 and 45507.

Prime Factorization of 45489

Prime Factorization of 45507

Now multiplying the highest exponent prime factors to calculate the LCM of 45489 and 45507.

LCM(45489,45507) = 3¹ × 59¹ × 257¹ × 7¹ × 11¹ × 197¹
LCM(45489,45507) = 690022641