What is the Least Common Multiple of 45448 and 45467?

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 45448 and 45467 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45448 and 45467, than apply into the LCM equation.

GCF(45448,45467) = 19
LCM(45448,45467) = ( 45448 × 45467) / 19
LCM(45448,45467) = 2066384216 / 19
LCM(45448,45467) = 108757064

Least Common Multiple (LCM) of 45448 and 45467 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45448 and 45467. First we will calculate the prime factors of 45448 and 45467.

Prime Factorization of 45448

Prime Factorization of 45467

Now multiplying the highest exponent prime factors to calculate the LCM of 45448 and 45467.

LCM(45448,45467) = 2³ × 13¹ × 19¹ × 23¹ × 2393¹
LCM(45448,45467) = 108757064