What is the Least Common Multiple of 15067 and 15086?

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 15067 and 15086 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15067 and 15086, than apply into the LCM equation.

GCF(15067,15086) = 19
LCM(15067,15086) = ( 15067 × 15086) / 19
LCM(15067,15086) = 227300762 / 19
LCM(15067,15086) = 11963198

Least Common Multiple (LCM) of 15067 and 15086 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15067 and 15086. First we will calculate the prime factors of 15067 and 15086.

Prime Factorization of 15067

Prime Factorization of 15086

Now multiplying the highest exponent prime factors to calculate the LCM of 15067 and 15086.

LCM(15067,15086) = 13¹ × 19¹ × 61¹ × 2¹ × 397¹
LCM(15067,15086) = 11963198