What is the Least Common Multiple of 11546 and 11561?

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 11546 and 11561 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11546 and 11561, than apply into the LCM equation.

GCF(11546,11561) = 1
LCM(11546,11561) = ( 11546 × 11561) / 1
LCM(11546,11561) = 133483306 / 1
LCM(11546,11561) = 133483306

Least Common Multiple (LCM) of 11546 and 11561 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11546 and 11561. First we will calculate the prime factors of 11546 and 11561.

Prime Factorization of 11546

Prime Factorization of 11561

Now multiplying the highest exponent prime factors to calculate the LCM of 11546 and 11561.

LCM(11546,11561) = 2¹ × 23¹ × 251¹ × 11¹ × 1051¹
LCM(11546,11561) = 133483306