What is the Least Common Multiple of 33708 and 33720?

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 33708 and 33720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33708 and 33720, than apply into the LCM equation.

GCF(33708,33720) = 12
LCM(33708,33720) = ( 33708 × 33720) / 12
LCM(33708,33720) = 1136633760 / 12
LCM(33708,33720) = 94719480

Least Common Multiple (LCM) of 33708 and 33720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33708 and 33720. First we will calculate the prime factors of 33708 and 33720.

Prime Factorization of 33708

Prime Factorization of 33720

Now multiplying the highest exponent prime factors to calculate the LCM of 33708 and 33720.

LCM(33708,33720) = 2³ × 3¹ × 53² × 5¹ × 281¹
LCM(33708,33720) = 94719480