What is the Least Common Multiple of 45724 and 45735?

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 45724 and 45735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45724 and 45735, than apply into the LCM equation.

GCF(45724,45735) = 1
LCM(45724,45735) = ( 45724 × 45735) / 1
LCM(45724,45735) = 2091187140 / 1
LCM(45724,45735) = 2091187140

Least Common Multiple (LCM) of 45724 and 45735 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45724 and 45735. First we will calculate the prime factors of 45724 and 45735.

Prime Factorization of 45724

Prime Factorization of 45735

Now multiplying the highest exponent prime factors to calculate the LCM of 45724 and 45735.

LCM(45724,45735) = 2² × 7¹ × 23¹ × 71¹ × 3¹ × 5¹ × 3049¹
LCM(45724,45735) = 2091187140