What is the Least Common Multiple of 74184 and 74196?

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 74184 and 74196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74184 and 74196, than apply into the LCM equation.

GCF(74184,74196) = 12
LCM(74184,74196) = ( 74184 × 74196) / 12
LCM(74184,74196) = 5504156064 / 12
LCM(74184,74196) = 458679672

Least Common Multiple (LCM) of 74184 and 74196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74184 and 74196. First we will calculate the prime factors of 74184 and 74196.

Prime Factorization of 74184

Prime Factorization of 74196

Now multiplying the highest exponent prime factors to calculate the LCM of 74184 and 74196.

LCM(74184,74196) = 2³ × 3⁴ × 11¹ × 281¹ × 229¹
LCM(74184,74196) = 458679672