What is the Least Common Multiple of 84630 and 84636?

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 84630 and 84636 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84630 and 84636, than apply into the LCM equation.

GCF(84630,84636) = 6
LCM(84630,84636) = ( 84630 × 84636) / 6
LCM(84630,84636) = 7162744680 / 6
LCM(84630,84636) = 1193790780

Least Common Multiple (LCM) of 84630 and 84636 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84630 and 84636. First we will calculate the prime factors of 84630 and 84636.

Prime Factorization of 84630

Prime Factorization of 84636

Now multiplying the highest exponent prime factors to calculate the LCM of 84630 and 84636.

LCM(84630,84636) = 2² × 3² × 5¹ × 7¹ × 13¹ × 31¹ × 2351¹
LCM(84630,84636) = 1193790780