What is the Least Common Multiple of 33680 and 33690?

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 33680 and 33690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33680 and 33690, than apply into the LCM equation.

GCF(33680,33690) = 10
LCM(33680,33690) = ( 33680 × 33690) / 10
LCM(33680,33690) = 1134679200 / 10
LCM(33680,33690) = 113467920

Least Common Multiple (LCM) of 33680 and 33690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33680 and 33690. First we will calculate the prime factors of 33680 and 33690.

Prime Factorization of 33680

Prime Factorization of 33690

Now multiplying the highest exponent prime factors to calculate the LCM of 33680 and 33690.

LCM(33680,33690) = 2⁴ × 5¹ × 421¹ × 3¹ × 1123¹
LCM(33680,33690) = 113467920