What is the Least Common Multiple of 33698 and 33708?

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 33698 and 33708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33698 and 33708, than apply into the LCM equation.

GCF(33698,33708) = 2
LCM(33698,33708) = ( 33698 × 33708) / 2
LCM(33698,33708) = 1135892184 / 2
LCM(33698,33708) = 567946092

Least Common Multiple (LCM) of 33698 and 33708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33698 and 33708. First we will calculate the prime factors of 33698 and 33708.

Prime Factorization of 33698

Prime Factorization of 33708

Now multiplying the highest exponent prime factors to calculate the LCM of 33698 and 33708.

LCM(33698,33708) = 2² × 7¹ × 29¹ × 83¹ × 3¹ × 53²
LCM(33698,33708) = 567946092