What is the Least Common Multiple of 15194 and 15206?

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 15194 and 15206 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15194 and 15206, than apply into the LCM equation.

GCF(15194,15206) = 2
LCM(15194,15206) = ( 15194 × 15206) / 2
LCM(15194,15206) = 231039964 / 2
LCM(15194,15206) = 115519982

Least Common Multiple (LCM) of 15194 and 15206 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15194 and 15206. First we will calculate the prime factors of 15194 and 15206.

Prime Factorization of 15194

Prime Factorization of 15206

Now multiplying the highest exponent prime factors to calculate the LCM of 15194 and 15206.

LCM(15194,15206) = 2¹ × 71¹ × 107¹ × 7603¹
LCM(15194,15206) = 115519982