What is the Least Common Multiple of 33678 and 33697?

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 33678 and 33697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33678 and 33697, than apply into the LCM equation.

GCF(33678,33697) = 1
LCM(33678,33697) = ( 33678 × 33697) / 1
LCM(33678,33697) = 1134847566 / 1
LCM(33678,33697) = 1134847566

Least Common Multiple (LCM) of 33678 and 33697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33678 and 33697. First we will calculate the prime factors of 33678 and 33697.

Prime Factorization of 33678

Prime Factorization of 33697

Now multiplying the highest exponent prime factors to calculate the LCM of 33678 and 33697.

LCM(33678,33697) = 2¹ × 3² × 1871¹ × 31¹ × 1087¹
LCM(33678,33697) = 1134847566