What is the Least Common Multiple of 45700 and 45715?

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 45715 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 45715, than apply into the LCM equation.

GCF(45700,45715) = 5
LCM(45700,45715) = ( 45700 × 45715) / 5
LCM(45700,45715) = 2089175500 / 5
LCM(45700,45715) = 417835100

Least Common Multiple (LCM) of 45700 and 45715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45700 and 45715. First we will calculate the prime factors of 45700 and 45715.

Prime Factorization of 45700

Prime Factorization of 45715

Now multiplying the highest exponent prime factors to calculate the LCM of 45700 and 45715.

LCM(45700,45715) = 2² × 5² × 457¹ × 41¹ × 223¹
LCM(45700,45715) = 417835100