What is the Least Common Multiple of 33608 and 33627?

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 33608 and 33627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33608 and 33627, than apply into the LCM equation.

GCF(33608,33627) = 1
LCM(33608,33627) = ( 33608 × 33627) / 1
LCM(33608,33627) = 1130136216 / 1
LCM(33608,33627) = 1130136216

Least Common Multiple (LCM) of 33608 and 33627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33608 and 33627. First we will calculate the prime factors of 33608 and 33627.

Prime Factorization of 33608

Prime Factorization of 33627

Now multiplying the highest exponent prime factors to calculate the LCM of 33608 and 33627.

LCM(33608,33627) = 2³ × 4201¹ × 3¹ × 11¹ × 1019¹
LCM(33608,33627) = 1130136216