What is the Least Common Multiple of 45714 and 45732?

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 45714 and 45732 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45714 and 45732, than apply into the LCM equation.

GCF(45714,45732) = 6
LCM(45714,45732) = ( 45714 × 45732) / 6
LCM(45714,45732) = 2090592648 / 6
LCM(45714,45732) = 348432108

Least Common Multiple (LCM) of 45714 and 45732 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45714 and 45732. First we will calculate the prime factors of 45714 and 45732.

Prime Factorization of 45714

Prime Factorization of 45732

Now multiplying the highest exponent prime factors to calculate the LCM of 45714 and 45732.

LCM(45714,45732) = 2² × 3¹ × 19¹ × 401¹ × 37¹ × 103¹
LCM(45714,45732) = 348432108