What is the Least Common Multiple of 45708 and 45724?

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 45708 and 45724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45708 and 45724, than apply into the LCM equation.

GCF(45708,45724) = 4
LCM(45708,45724) = ( 45708 × 45724) / 4
LCM(45708,45724) = 2089952592 / 4
LCM(45708,45724) = 522488148

Least Common Multiple (LCM) of 45708 and 45724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45708 and 45724. First we will calculate the prime factors of 45708 and 45724.

Prime Factorization of 45708

Prime Factorization of 45724

Now multiplying the highest exponent prime factors to calculate the LCM of 45708 and 45724.

LCM(45708,45724) = 2² × 3¹ × 13¹ × 293¹ × 7¹ × 23¹ × 71¹
LCM(45708,45724) = 522488148