What is the Least Common Multiple of 99951 and 99966?

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 99951 and 99966 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99951 and 99966, than apply into the LCM equation.

GCF(99951,99966) = 3
LCM(99951,99966) = ( 99951 × 99966) / 3
LCM(99951,99966) = 9991701666 / 3
LCM(99951,99966) = 3330567222

Least Common Multiple (LCM) of 99951 and 99966 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99951 and 99966. First we will calculate the prime factors of 99951 and 99966.

Prime Factorization of 99951

Prime Factorization of 99966

Now multiplying the highest exponent prime factors to calculate the LCM of 99951 and 99966.

LCM(99951,99966) = 3¹ × 33317¹ × 2¹ × 16661¹
LCM(99951,99966) = 3330567222