What is the Least Common Multiple of 9660 and 9666?

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 9660 and 9666 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9660 and 9666, than apply into the LCM equation.

GCF(9660,9666) = 6
LCM(9660,9666) = ( 9660 × 9666) / 6
LCM(9660,9666) = 93373560 / 6
LCM(9660,9666) = 15562260

Least Common Multiple (LCM) of 9660 and 9666 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9660 and 9666. First we will calculate the prime factors of 9660 and 9666.

Prime Factorization of 9660

Prime Factorization of 9666

Now multiplying the highest exponent prime factors to calculate the LCM of 9660 and 9666.

LCM(9660,9666) = 2² × 3³ × 5¹ × 7¹ × 23¹ × 179¹
LCM(9660,9666) = 15562260