What is the Least Common Multiple of 36822 and 36832?

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 36822 and 36832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36822 and 36832, than apply into the LCM equation.

GCF(36822,36832) = 2
LCM(36822,36832) = ( 36822 × 36832) / 2
LCM(36822,36832) = 1356227904 / 2
LCM(36822,36832) = 678113952

Least Common Multiple (LCM) of 36822 and 36832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36822 and 36832. First we will calculate the prime factors of 36822 and 36832.

Prime Factorization of 36822

Prime Factorization of 36832

Now multiplying the highest exponent prime factors to calculate the LCM of 36822 and 36832.

LCM(36822,36832) = 2⁵ × 3¹ × 17¹ × 19² × 1151¹
LCM(36822,36832) = 678113952