What is the Least Common Multiple of 19158 and 19167?

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 19158 and 19167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19158 and 19167, than apply into the LCM equation.

GCF(19158,19167) = 3
LCM(19158,19167) = ( 19158 × 19167) / 3
LCM(19158,19167) = 367201386 / 3
LCM(19158,19167) = 122400462

Least Common Multiple (LCM) of 19158 and 19167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19158 and 19167. First we will calculate the prime factors of 19158 and 19167.

Prime Factorization of 19158

Prime Factorization of 19167

Now multiplying the highest exponent prime factors to calculate the LCM of 19158 and 19167.

LCM(19158,19167) = 2¹ × 3¹ × 31¹ × 103¹ × 6389¹
LCM(19158,19167) = 122400462