What is the Least Common Multiple of 71543 and 71554?

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 71543 and 71554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71543 and 71554, than apply into the LCM equation.

GCF(71543,71554) = 1
LCM(71543,71554) = ( 71543 × 71554) / 1
LCM(71543,71554) = 5119187822 / 1
LCM(71543,71554) = 5119187822

Least Common Multiple (LCM) of 71543 and 71554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71543 and 71554. First we will calculate the prime factors of 71543 and 71554.

Prime Factorization of 71543

Prime Factorization of 71554

Now multiplying the highest exponent prime factors to calculate the LCM of 71543 and 71554.

LCM(71543,71554) = 29¹ × 2467¹ × 2¹ × 7¹ × 19¹ × 269¹
LCM(71543,71554) = 5119187822