What is the Least Common Multiple of 45432 and 45440?

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 45432 and 45440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45432 and 45440, than apply into the LCM equation.

GCF(45432,45440) = 8
LCM(45432,45440) = ( 45432 × 45440) / 8
LCM(45432,45440) = 2064430080 / 8
LCM(45432,45440) = 258053760

Least Common Multiple (LCM) of 45432 and 45440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45432 and 45440. First we will calculate the prime factors of 45432 and 45440.

Prime Factorization of 45432

Prime Factorization of 45440

Now multiplying the highest exponent prime factors to calculate the LCM of 45432 and 45440.

LCM(45432,45440) = 2⁷ × 3² × 631¹ × 5¹ × 71¹
LCM(45432,45440) = 258053760