What is the Least Common Multiple of 15738 and 15751?

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 15738 and 15751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15738 and 15751, than apply into the LCM equation.

GCF(15738,15751) = 1
LCM(15738,15751) = ( 15738 × 15751) / 1
LCM(15738,15751) = 247889238 / 1
LCM(15738,15751) = 247889238

Least Common Multiple (LCM) of 15738 and 15751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15738 and 15751. First we will calculate the prime factors of 15738 and 15751.

Prime Factorization of 15738

Prime Factorization of 15751

Now multiplying the highest exponent prime factors to calculate the LCM of 15738 and 15751.

LCM(15738,15751) = 2¹ × 3¹ × 43¹ × 61¹ × 19¹ × 829¹
LCM(15738,15751) = 247889238