What is the Least Common Multiple of 45448 and 45454?

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 45454 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 45454, than apply into the LCM equation.

GCF(45448,45454) = 2
LCM(45448,45454) = ( 45448 × 45454) / 2
LCM(45448,45454) = 2065793392 / 2
LCM(45448,45454) = 1032896696

Least Common Multiple (LCM) of 45448 and 45454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45448 and 45454. First we will calculate the prime factors of 45448 and 45454.

Prime Factorization of 45448

Prime Factorization of 45454

Now multiplying the highest exponent prime factors to calculate the LCM of 45448 and 45454.

LCM(45448,45454) = 2³ × 13¹ × 19¹ × 23¹ × 22727¹
LCM(45448,45454) = 1032896696