What is the Least Common Multiple of 45489 and 45499?

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 45499 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 45499, than apply into the LCM equation.

GCF(45489,45499) = 1
LCM(45489,45499) = ( 45489 × 45499) / 1
LCM(45489,45499) = 2069704011 / 1
LCM(45489,45499) = 2069704011

Least Common Multiple (LCM) of 45489 and 45499 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45489 and 45499. First we will calculate the prime factors of 45489 and 45499.

Prime Factorization of 45489

Prime Factorization of 45499

Now multiplying the highest exponent prime factors to calculate the LCM of 45489 and 45499.

LCM(45489,45499) = 3¹ × 59¹ × 257¹ × 173¹ × 263¹
LCM(45489,45499) = 2069704011