What is the Least Common Multiple of 19138 and 19144?

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 19138 and 19144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19138 and 19144, than apply into the LCM equation.

GCF(19138,19144) = 2
LCM(19138,19144) = ( 19138 × 19144) / 2
LCM(19138,19144) = 366377872 / 2
LCM(19138,19144) = 183188936

Least Common Multiple (LCM) of 19138 and 19144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19138 and 19144. First we will calculate the prime factors of 19138 and 19144.

Prime Factorization of 19138

Prime Factorization of 19144

Now multiplying the highest exponent prime factors to calculate the LCM of 19138 and 19144.

LCM(19138,19144) = 2³ × 7¹ × 1367¹ × 2393¹
LCM(19138,19144) = 183188936