What is the Least Common Multiple of 19148 and 19162?

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 19148 and 19162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19148 and 19162, than apply into the LCM equation.

GCF(19148,19162) = 2
LCM(19148,19162) = ( 19148 × 19162) / 2
LCM(19148,19162) = 366913976 / 2
LCM(19148,19162) = 183456988

Least Common Multiple (LCM) of 19148 and 19162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19148 and 19162. First we will calculate the prime factors of 19148 and 19162.

Prime Factorization of 19148

Prime Factorization of 19162

Now multiplying the highest exponent prime factors to calculate the LCM of 19148 and 19162.

LCM(19148,19162) = 2² × 4787¹ × 11¹ × 13¹ × 67¹
LCM(19148,19162) = 183456988