What is the Least Common Multiple of 60324 and 60336?

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 60324 and 60336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60324 and 60336, than apply into the LCM equation.

GCF(60324,60336) = 12
LCM(60324,60336) = ( 60324 × 60336) / 12
LCM(60324,60336) = 3639708864 / 12
LCM(60324,60336) = 303309072

Least Common Multiple (LCM) of 60324 and 60336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60324 and 60336. First we will calculate the prime factors of 60324 and 60336.

Prime Factorization of 60324

Prime Factorization of 60336

Now multiplying the highest exponent prime factors to calculate the LCM of 60324 and 60336.

LCM(60324,60336) = 2⁴ × 3² × 11¹ × 457¹ × 419¹
LCM(60324,60336) = 303309072