What is the Least Common Multiple of 45717 and 45729?

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 45717 and 45729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45717 and 45729, than apply into the LCM equation.

GCF(45717,45729) = 3
LCM(45717,45729) = ( 45717 × 45729) / 3
LCM(45717,45729) = 2090592693 / 3
LCM(45717,45729) = 696864231

Least Common Multiple (LCM) of 45717 and 45729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45717 and 45729. First we will calculate the prime factors of 45717 and 45729.

Prime Factorization of 45717

Prime Factorization of 45729

Now multiplying the highest exponent prime factors to calculate the LCM of 45717 and 45729.

LCM(45717,45729) = 3² × 7² × 311¹ × 5081¹
LCM(45717,45729) = 696864231