What is the Least Common Multiple of 33676 and 33689?

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 33676 and 33689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33676 and 33689, than apply into the LCM equation.

GCF(33676,33689) = 1
LCM(33676,33689) = ( 33676 × 33689) / 1
LCM(33676,33689) = 1134510764 / 1
LCM(33676,33689) = 1134510764

Least Common Multiple (LCM) of 33676 and 33689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33676 and 33689. First we will calculate the prime factors of 33676 and 33689.

Prime Factorization of 33676

Prime Factorization of 33689

Now multiplying the highest exponent prime factors to calculate the LCM of 33676 and 33689.

LCM(33676,33689) = 2² × 8419¹ × 59¹ × 571¹
LCM(33676,33689) = 1134510764