What is the Least Common Multiple of 33660 and 33677?

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 33660 and 33677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33660 and 33677, than apply into the LCM equation.

GCF(33660,33677) = 17
LCM(33660,33677) = ( 33660 × 33677) / 17
LCM(33660,33677) = 1133567820 / 17
LCM(33660,33677) = 66680460

Least Common Multiple (LCM) of 33660 and 33677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33660 and 33677. First we will calculate the prime factors of 33660 and 33677.

Prime Factorization of 33660

Prime Factorization of 33677

Now multiplying the highest exponent prime factors to calculate the LCM of 33660 and 33677.

LCM(33660,33677) = 2² × 3² × 5¹ × 11¹ × 17¹ × 7¹ × 283¹
LCM(33660,33677) = 66680460