What is the Least Common Multiple of 93822 and 93832?

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 93822 and 93832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93822 and 93832, than apply into the LCM equation.

GCF(93822,93832) = 2
LCM(93822,93832) = ( 93822 × 93832) / 2
LCM(93822,93832) = 8803505904 / 2
LCM(93822,93832) = 4401752952

Least Common Multiple (LCM) of 93822 and 93832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93822 and 93832. First we will calculate the prime factors of 93822 and 93832.

Prime Factorization of 93822

Prime Factorization of 93832

Now multiplying the highest exponent prime factors to calculate the LCM of 93822 and 93832.

LCM(93822,93832) = 2³ × 3¹ × 19¹ × 823¹ × 37¹ × 317¹
LCM(93822,93832) = 4401752952