What is the Least Common Multiple of 93904 and 93920?

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 93920 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 93920, than apply into the LCM equation.

GCF(93904,93920) = 16
LCM(93904,93920) = ( 93904 × 93920) / 16
LCM(93904,93920) = 8819463680 / 16
LCM(93904,93920) = 551216480

Least Common Multiple (LCM) of 93904 and 93920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93904 and 93920. First we will calculate the prime factors of 93904 and 93920.

Prime Factorization of 93904

Prime Factorization of 93920

Now multiplying the highest exponent prime factors to calculate the LCM of 93904 and 93920.

LCM(93904,93920) = 2⁵ × 5869¹ × 5¹ × 587¹
LCM(93904,93920) = 551216480