What is the Least Common Multiple of 60309 and 60324?

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 60309 and 60324 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60309 and 60324, than apply into the LCM equation.

GCF(60309,60324) = 3
LCM(60309,60324) = ( 60309 × 60324) / 3
LCM(60309,60324) = 3638080116 / 3
LCM(60309,60324) = 1212693372

Least Common Multiple (LCM) of 60309 and 60324 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60309 and 60324. First we will calculate the prime factors of 60309 and 60324.

Prime Factorization of 60309

Prime Factorization of 60324

Now multiplying the highest exponent prime factors to calculate the LCM of 60309 and 60324.

LCM(60309,60324) = 3² × 6701¹ × 2² × 11¹ × 457¹
LCM(60309,60324) = 1212693372