What is the Least Common Multiple of 99946 and 99957?

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 99946 and 99957 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99946 and 99957, than apply into the LCM equation.

GCF(99946,99957) = 11
LCM(99946,99957) = ( 99946 × 99957) / 11
LCM(99946,99957) = 9990302322 / 11
LCM(99946,99957) = 908209302

Least Common Multiple (LCM) of 99946 and 99957 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 99946 and 99957. First we will calculate the prime factors of 99946 and 99957.

Prime Factorization of 99946

Prime Factorization of 99957

Now multiplying the highest exponent prime factors to calculate the LCM of 99946 and 99957.

LCM(99946,99957) = 2¹ × 7¹ × 11² × 59¹ × 3¹ × 13¹ × 233¹
LCM(99946,99957) = 908209302