What is the Least Common Multiple of 6678 and 6690?

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 6678 and 6690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6678 and 6690, than apply into the LCM equation.

GCF(6678,6690) = 6
LCM(6678,6690) = ( 6678 × 6690) / 6
LCM(6678,6690) = 44675820 / 6
LCM(6678,6690) = 7445970

Least Common Multiple (LCM) of 6678 and 6690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6678 and 6690. First we will calculate the prime factors of 6678 and 6690.

Prime Factorization of 6678

Prime Factorization of 6690

Now multiplying the highest exponent prime factors to calculate the LCM of 6678 and 6690.

LCM(6678,6690) = 2¹ × 3² × 7¹ × 53¹ × 5¹ × 223¹
LCM(6678,6690) = 7445970