What is the Least Common Multiple of 81184 and 81195?

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 81184 and 81195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81184 and 81195, than apply into the LCM equation.

GCF(81184,81195) = 1
LCM(81184,81195) = ( 81184 × 81195) / 1
LCM(81184,81195) = 6591734880 / 1
LCM(81184,81195) = 6591734880

Least Common Multiple (LCM) of 81184 and 81195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81184 and 81195. First we will calculate the prime factors of 81184 and 81195.

Prime Factorization of 81184

Prime Factorization of 81195

Now multiplying the highest exponent prime factors to calculate the LCM of 81184 and 81195.

LCM(81184,81195) = 2⁵ × 43¹ × 59¹ × 3¹ × 5¹ × 5413¹
LCM(81184,81195) = 6591734880