What is the Least Common Multiple of 45700 and 45720?

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 45700 and 45720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45700 and 45720, than apply into the LCM equation.

GCF(45700,45720) = 20
LCM(45700,45720) = ( 45700 × 45720) / 20
LCM(45700,45720) = 2089404000 / 20
LCM(45700,45720) = 104470200

Least Common Multiple (LCM) of 45700 and 45720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45700 and 45720. First we will calculate the prime factors of 45700 and 45720.

Prime Factorization of 45700

Prime Factorization of 45720

Now multiplying the highest exponent prime factors to calculate the LCM of 45700 and 45720.

LCM(45700,45720) = 2³ × 5² × 457¹ × 3² × 127¹
LCM(45700,45720) = 104470200