What is the Least Common Multiple of 93996 and 94016?

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 93996 and 94016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93996 and 94016, than apply into the LCM equation.

GCF(93996,94016) = 4
LCM(93996,94016) = ( 93996 × 94016) / 4
LCM(93996,94016) = 8837127936 / 4
LCM(93996,94016) = 2209281984

Least Common Multiple (LCM) of 93996 and 94016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93996 and 94016. First we will calculate the prime factors of 93996 and 94016.

Prime Factorization of 93996

Prime Factorization of 94016

Now multiplying the highest exponent prime factors to calculate the LCM of 93996 and 94016.

LCM(93996,94016) = 2⁶ × 3² × 7¹ × 373¹ × 13¹ × 113¹
LCM(93996,94016) = 2209281984