What is the Least Common Multiple of 84186 and 84192?

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 84186 and 84192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84186 and 84192, than apply into the LCM equation.

GCF(84186,84192) = 6
LCM(84186,84192) = ( 84186 × 84192) / 6
LCM(84186,84192) = 7087787712 / 6
LCM(84186,84192) = 1181297952

Least Common Multiple (LCM) of 84186 and 84192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84186 and 84192. First we will calculate the prime factors of 84186 and 84192.

Prime Factorization of 84186

Prime Factorization of 84192

Now multiplying the highest exponent prime factors to calculate the LCM of 84186 and 84192.

LCM(84186,84192) = 2⁵ × 3³ × 1559¹ × 877¹
LCM(84186,84192) = 1181297952