What is the Least Common Multiple of 93912 and 93931?

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 93912 and 93931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93912 and 93931, than apply into the LCM equation.

GCF(93912,93931) = 1
LCM(93912,93931) = ( 93912 × 93931) / 1
LCM(93912,93931) = 8821248072 / 1
LCM(93912,93931) = 8821248072

Least Common Multiple (LCM) of 93912 and 93931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93912 and 93931. First we will calculate the prime factors of 93912 and 93931.

Prime Factorization of 93912

Prime Factorization of 93931

Now multiplying the highest exponent prime factors to calculate the LCM of 93912 and 93931.

LCM(93912,93931) = 2³ × 3¹ × 7¹ × 13¹ × 43¹ × 29¹ × 41¹ × 79¹
LCM(93912,93931) = 8821248072