What is the Least Common Multiple of 11543 and 11557?

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 11543 and 11557 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11543 and 11557, than apply into the LCM equation.

GCF(11543,11557) = 7
LCM(11543,11557) = ( 11543 × 11557) / 7
LCM(11543,11557) = 133402451 / 7
LCM(11543,11557) = 19057493

Least Common Multiple (LCM) of 11543 and 11557 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11543 and 11557. First we will calculate the prime factors of 11543 and 11557.

Prime Factorization of 11543

Prime Factorization of 11557

Now multiplying the highest exponent prime factors to calculate the LCM of 11543 and 11557.

LCM(11543,11557) = 7¹ × 17¹ × 97¹ × 13¹ × 127¹
LCM(11543,11557) = 19057493