What is the Least Common Multiple of 72822 and 72832?

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 72822 and 72832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72822 and 72832, than apply into the LCM equation.

GCF(72822,72832) = 2
LCM(72822,72832) = ( 72822 × 72832) / 2
LCM(72822,72832) = 5303771904 / 2
LCM(72822,72832) = 2651885952

Least Common Multiple (LCM) of 72822 and 72832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72822 and 72832. First we will calculate the prime factors of 72822 and 72832.

Prime Factorization of 72822

Prime Factorization of 72832

Now multiplying the highest exponent prime factors to calculate the LCM of 72822 and 72832.

LCM(72822,72832) = 2⁷ × 3¹ × 53¹ × 229¹ × 569¹
LCM(72822,72832) = 2651885952