What is the Least Common Multiple of 72186 and 72196?

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 72186 and 72196 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72186 and 72196, than apply into the LCM equation.

GCF(72186,72196) = 2
LCM(72186,72196) = ( 72186 × 72196) / 2
LCM(72186,72196) = 5211540456 / 2
LCM(72186,72196) = 2605770228

Least Common Multiple (LCM) of 72186 and 72196 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72186 and 72196. First we will calculate the prime factors of 72186 and 72196.

Prime Factorization of 72186

Prime Factorization of 72196

Now multiplying the highest exponent prime factors to calculate the LCM of 72186 and 72196.

LCM(72186,72196) = 2² × 3¹ × 53¹ × 227¹ × 18049¹
LCM(72186,72196) = 2605770228