What is the Least Common Multiple of 33708 and 33718?

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 33718 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 33718, than apply into the LCM equation.

GCF(33708,33718) = 2
LCM(33708,33718) = ( 33708 × 33718) / 2
LCM(33708,33718) = 1136566344 / 2
LCM(33708,33718) = 568283172

Least Common Multiple (LCM) of 33708 and 33718 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33708 and 33718. First we will calculate the prime factors of 33708 and 33718.

Prime Factorization of 33708

Prime Factorization of 33718

Now multiplying the highest exponent prime factors to calculate the LCM of 33708 and 33718.

LCM(33708,33718) = 2² × 3¹ × 53² × 23¹ × 733¹
LCM(33708,33718) = 568283172