What is the Least Common Multiple of 84620 and 84627?

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 84620 and 84627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84620 and 84627, than apply into the LCM equation.

GCF(84620,84627) = 1
LCM(84620,84627) = ( 84620 × 84627) / 1
LCM(84620,84627) = 7161136740 / 1
LCM(84620,84627) = 7161136740

Least Common Multiple (LCM) of 84620 and 84627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84620 and 84627. First we will calculate the prime factors of 84620 and 84627.

Prime Factorization of 84620

Prime Factorization of 84627

Now multiplying the highest exponent prime factors to calculate the LCM of 84620 and 84627.

LCM(84620,84627) = 2² × 5¹ × 4231¹ × 3² × 9403¹
LCM(84620,84627) = 7161136740