What is the Least Common Multiple of 9954 and 9966?

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 9954 and 9966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9954 and 9966, than apply into the LCM equation.

GCF(9954,9966) = 6
LCM(9954,9966) = ( 9954 × 9966) / 6
LCM(9954,9966) = 99201564 / 6
LCM(9954,9966) = 16533594

Least Common Multiple (LCM) of 9954 and 9966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9954 and 9966. First we will calculate the prime factors of 9954 and 9966.

Prime Factorization of 9954

Prime Factorization of 9966

Now multiplying the highest exponent prime factors to calculate the LCM of 9954 and 9966.

LCM(9954,9966) = 2¹ × 3² × 7¹ × 79¹ × 11¹ × 151¹
LCM(9954,9966) = 16533594