What is the Least Common Multiple of 83904 and 83910?

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 83904 and 83910 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83904 and 83910, than apply into the LCM equation.

GCF(83904,83910) = 6
LCM(83904,83910) = ( 83904 × 83910) / 6
LCM(83904,83910) = 7040384640 / 6
LCM(83904,83910) = 1173397440

Least Common Multiple (LCM) of 83904 and 83910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83904 and 83910. First we will calculate the prime factors of 83904 and 83910.

Prime Factorization of 83904

Prime Factorization of 83910

Now multiplying the highest exponent prime factors to calculate the LCM of 83904 and 83910.

LCM(83904,83910) = 2⁶ × 3¹ × 19¹ × 23¹ × 5¹ × 2797¹
LCM(83904,83910) = 1173397440