What is the Least Common Multiple of 84180 and 84198?

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 84180 and 84198 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84180 and 84198, than apply into the LCM equation.

GCF(84180,84198) = 6
LCM(84180,84198) = ( 84180 × 84198) / 6
LCM(84180,84198) = 7087787640 / 6
LCM(84180,84198) = 1181297940

Least Common Multiple (LCM) of 84180 and 84198 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84180 and 84198. First we will calculate the prime factors of 84180 and 84198.

Prime Factorization of 84180

Prime Factorization of 84198

Now multiplying the highest exponent prime factors to calculate the LCM of 84180 and 84198.

LCM(84180,84198) = 2² × 3¹ × 5¹ × 23¹ × 61¹ × 14033¹
LCM(84180,84198) = 1181297940