What is the Least Common Multiple of 19124 and 19130?

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 19124 and 19130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19124 and 19130, than apply into the LCM equation.

GCF(19124,19130) = 2
LCM(19124,19130) = ( 19124 × 19130) / 2
LCM(19124,19130) = 365842120 / 2
LCM(19124,19130) = 182921060

Least Common Multiple (LCM) of 19124 and 19130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19124 and 19130. First we will calculate the prime factors of 19124 and 19130.

Prime Factorization of 19124

Prime Factorization of 19130

Now multiplying the highest exponent prime factors to calculate the LCM of 19124 and 19130.

LCM(19124,19130) = 2² × 7¹ × 683¹ × 5¹ × 1913¹
LCM(19124,19130) = 182921060