What is the Least Common Multiple of 6660 and 6677?

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 6660 and 6677 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6660 and 6677, than apply into the LCM equation.

GCF(6660,6677) = 1
LCM(6660,6677) = ( 6660 × 6677) / 1
LCM(6660,6677) = 44468820 / 1
LCM(6660,6677) = 44468820

Least Common Multiple (LCM) of 6660 and 6677 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6660 and 6677. First we will calculate the prime factors of 6660 and 6677.

Prime Factorization of 6660

Prime Factorization of 6677

Now multiplying the highest exponent prime factors to calculate the LCM of 6660 and 6677.

LCM(6660,6677) = 2² × 3² × 5¹ × 37¹ × 11¹ × 607¹
LCM(6660,6677) = 44468820