What is the Least Common Multiple of 81184 and 81202?

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 81202 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 81202, than apply into the LCM equation.

GCF(81184,81202) = 2
LCM(81184,81202) = ( 81184 × 81202) / 2
LCM(81184,81202) = 6592303168 / 2
LCM(81184,81202) = 3296151584

Least Common Multiple (LCM) of 81184 and 81202 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81184 and 81202. First we will calculate the prime factors of 81184 and 81202.

Prime Factorization of 81184

Prime Factorization of 81202

Now multiplying the highest exponent prime factors to calculate the LCM of 81184 and 81202.

LCM(81184,81202) = 2⁵ × 43¹ × 59¹ × 11¹ × 3691¹
LCM(81184,81202) = 3296151584