What is the Least Common Multiple of 45700 and 45710?

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 45710 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 45710, than apply into the LCM equation.

GCF(45700,45710) = 10
LCM(45700,45710) = ( 45700 × 45710) / 10
LCM(45700,45710) = 2088947000 / 10
LCM(45700,45710) = 208894700

Least Common Multiple (LCM) of 45700 and 45710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45700 and 45710. First we will calculate the prime factors of 45700 and 45710.

Prime Factorization of 45700

Prime Factorization of 45710

Now multiplying the highest exponent prime factors to calculate the LCM of 45700 and 45710.

LCM(45700,45710) = 2² × 5² × 457¹ × 7¹ × 653¹
LCM(45700,45710) = 208894700