What is the Least Common Multiple of 72186 and 72192?

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 72186 and 72192 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72186 and 72192, than apply into the LCM equation.

GCF(72186,72192) = 6
LCM(72186,72192) = ( 72186 × 72192) / 6
LCM(72186,72192) = 5211251712 / 6
LCM(72186,72192) = 868541952

Least Common Multiple (LCM) of 72186 and 72192 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72186 and 72192. First we will calculate the prime factors of 72186 and 72192.

Prime Factorization of 72186

Prime Factorization of 72192

Now multiplying the highest exponent prime factors to calculate the LCM of 72186 and 72192.

LCM(72186,72192) = 2⁹ × 3¹ × 53¹ × 227¹ × 47¹
LCM(72186,72192) = 868541952