What is the Least Common Multiple of 19138 and 19143?

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 19143 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 19143, than apply into the LCM equation.

GCF(19138,19143) = 1
LCM(19138,19143) = ( 19138 × 19143) / 1
LCM(19138,19143) = 366358734 / 1
LCM(19138,19143) = 366358734

Least Common Multiple (LCM) of 19138 and 19143 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19138 and 19143. First we will calculate the prime factors of 19138 and 19143.

Prime Factorization of 19138

Prime Factorization of 19143

Now multiplying the highest exponent prime factors to calculate the LCM of 19138 and 19143.

LCM(19138,19143) = 2¹ × 7¹ × 1367¹ × 3³ × 709¹
LCM(19138,19143) = 366358734