What is the Least Common Multiple of 99957 and 99969?

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 99957 and 99969 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99957 and 99969, than apply into the LCM equation.

GCF(99957,99969) = 3
LCM(99957,99969) = ( 99957 × 99969) / 3
LCM(99957,99969) = 9992601333 / 3
LCM(99957,99969) = 3330867111

Least Common Multiple (LCM) of 99957 and 99969 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99957 and 99969. First we will calculate the prime factors of 99957 and 99969.

Prime Factorization of 99957

Prime Factorization of 99969

Now multiplying the highest exponent prime factors to calculate the LCM of 99957 and 99969.

LCM(99957,99969) = 3¹ × 11¹ × 13¹ × 233¹ × 47¹ × 709¹
LCM(99957,99969) = 3330867111