What is the Least Common Multiple of 19140 and 19154?

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 19140 and 19154 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19140 and 19154, than apply into the LCM equation.

GCF(19140,19154) = 2
LCM(19140,19154) = ( 19140 × 19154) / 2
LCM(19140,19154) = 366607560 / 2
LCM(19140,19154) = 183303780

Least Common Multiple (LCM) of 19140 and 19154 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19140 and 19154. First we will calculate the prime factors of 19140 and 19154.

Prime Factorization of 19140

Prime Factorization of 19154

Now multiplying the highest exponent prime factors to calculate the LCM of 19140 and 19154.

LCM(19140,19154) = 2² × 3¹ × 5¹ × 11¹ × 29¹ × 61¹ × 157¹
LCM(19140,19154) = 183303780