What is the Least Common Multiple of 75324 and 75336?

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 75324 and 75336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75324 and 75336, than apply into the LCM equation.

GCF(75324,75336) = 12
LCM(75324,75336) = ( 75324 × 75336) / 12
LCM(75324,75336) = 5674608864 / 12
LCM(75324,75336) = 472884072

Least Common Multiple (LCM) of 75324 and 75336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75324 and 75336. First we will calculate the prime factors of 75324 and 75336.

Prime Factorization of 75324

Prime Factorization of 75336

Now multiplying the highest exponent prime factors to calculate the LCM of 75324 and 75336.

LCM(75324,75336) = 2³ × 3¹ × 6277¹ × 43¹ × 73¹
LCM(75324,75336) = 472884072