What is the Least Common Multiple of 81184 and 81190?

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 81190 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 81190, than apply into the LCM equation.

GCF(81184,81190) = 2
LCM(81184,81190) = ( 81184 × 81190) / 2
LCM(81184,81190) = 6591328960 / 2
LCM(81184,81190) = 3295664480

Least Common Multiple (LCM) of 81184 and 81190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81184 and 81190. First we will calculate the prime factors of 81184 and 81190.

Prime Factorization of 81184

Prime Factorization of 81190

Now multiplying the highest exponent prime factors to calculate the LCM of 81184 and 81190.

LCM(81184,81190) = 2⁵ × 43¹ × 59¹ × 5¹ × 23¹ × 353¹
LCM(81184,81190) = 3295664480