What is the Least Common Multiple of 93904 and 93922?

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 93904 and 93922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93904 and 93922, than apply into the LCM equation.

GCF(93904,93922) = 2
LCM(93904,93922) = ( 93904 × 93922) / 2
LCM(93904,93922) = 8819651488 / 2
LCM(93904,93922) = 4409825744

Least Common Multiple (LCM) of 93904 and 93922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93904 and 93922. First we will calculate the prime factors of 93904 and 93922.

Prime Factorization of 93904

Prime Factorization of 93922

Now multiplying the highest exponent prime factors to calculate the LCM of 93904 and 93922.

LCM(93904,93922) = 2⁴ × 5869¹ × 151¹ × 311¹
LCM(93904,93922) = 4409825744