What is the Least Common Multiple of 39186 and 39193?

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 39186 and 39193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39186 and 39193, than apply into the LCM equation.

GCF(39186,39193) = 7
LCM(39186,39193) = ( 39186 × 39193) / 7
LCM(39186,39193) = 1535816898 / 7
LCM(39186,39193) = 219402414

Least Common Multiple (LCM) of 39186 and 39193 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39186 and 39193. First we will calculate the prime factors of 39186 and 39193.

Prime Factorization of 39186

Prime Factorization of 39193

Now multiplying the highest exponent prime factors to calculate the LCM of 39186 and 39193.

LCM(39186,39193) = 2¹ × 3² × 7¹ × 311¹ × 11¹ × 509¹
LCM(39186,39193) = 219402414