What is the Least Common Multiple of 45324 and 45339?

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 45324 and 45339 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45324 and 45339, than apply into the LCM equation.

GCF(45324,45339) = 3
LCM(45324,45339) = ( 45324 × 45339) / 3
LCM(45324,45339) = 2054944836 / 3
LCM(45324,45339) = 684981612

Least Common Multiple (LCM) of 45324 and 45339 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45324 and 45339. First we will calculate the prime factors of 45324 and 45339.

Prime Factorization of 45324

Prime Factorization of 45339

Now multiplying the highest exponent prime factors to calculate the LCM of 45324 and 45339.

LCM(45324,45339) = 2² × 3² × 1259¹ × 7¹ × 17¹ × 127¹
LCM(45324,45339) = 684981612