What is the Least Common Multiple of 69184 and 69196?

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 69184 and 69196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69184 and 69196, than apply into the LCM equation.

GCF(69184,69196) = 4
LCM(69184,69196) = ( 69184 × 69196) / 4
LCM(69184,69196) = 4787256064 / 4
LCM(69184,69196) = 1196814016

Least Common Multiple (LCM) of 69184 and 69196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69184 and 69196. First we will calculate the prime factors of 69184 and 69196.

Prime Factorization of 69184

Prime Factorization of 69196

Now multiplying the highest exponent prime factors to calculate the LCM of 69184 and 69196.

LCM(69184,69196) = 2⁶ × 23¹ × 47¹ × 17299¹
LCM(69184,69196) = 1196814016