What is the Least Common Multiple of 45560 and 45568?

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 45560 and 45568 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45560 and 45568, than apply into the LCM equation.

GCF(45560,45568) = 8
LCM(45560,45568) = ( 45560 × 45568) / 8
LCM(45560,45568) = 2076078080 / 8
LCM(45560,45568) = 259509760

Least Common Multiple (LCM) of 45560 and 45568 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45560 and 45568. First we will calculate the prime factors of 45560 and 45568.

Prime Factorization of 45560

Prime Factorization of 45568

Now multiplying the highest exponent prime factors to calculate the LCM of 45560 and 45568.

LCM(45560,45568) = 2⁹ × 5¹ × 17¹ × 67¹ × 89¹
LCM(45560,45568) = 259509760