What is the Least Common Multiple of 84628 and 84641?

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 84628 and 84641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84628 and 84641, than apply into the LCM equation.

GCF(84628,84641) = 1
LCM(84628,84641) = ( 84628 × 84641) / 1
LCM(84628,84641) = 7162998548 / 1
LCM(84628,84641) = 7162998548

Least Common Multiple (LCM) of 84628 and 84641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84628 and 84641. First we will calculate the prime factors of 84628 and 84641.

Prime Factorization of 84628

Prime Factorization of 84641

Now multiplying the highest exponent prime factors to calculate the LCM of 84628 and 84641.

LCM(84628,84641) = 2² × 21157¹ × 53¹ × 1597¹
LCM(84628,84641) = 7162998548