What is the Least Common Multiple of 72176 and 72195?

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 72176 and 72195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72176 and 72195, than apply into the LCM equation.

GCF(72176,72195) = 1
LCM(72176,72195) = ( 72176 × 72195) / 1
LCM(72176,72195) = 5210746320 / 1
LCM(72176,72195) = 5210746320

Least Common Multiple (LCM) of 72176 and 72195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72176 and 72195. First we will calculate the prime factors of 72176 and 72195.

Prime Factorization of 72176

Prime Factorization of 72195

Now multiplying the highest exponent prime factors to calculate the LCM of 72176 and 72195.

LCM(72176,72195) = 2⁴ × 13¹ × 347¹ × 3¹ × 5¹ × 4813¹
LCM(72176,72195) = 5210746320