What is the Least Common Multiple of 11546 and 11551?

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 11551 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 11551, than apply into the LCM equation.

GCF(11546,11551) = 1
LCM(11546,11551) = ( 11546 × 11551) / 1
LCM(11546,11551) = 133367846 / 1
LCM(11546,11551) = 133367846

Least Common Multiple (LCM) of 11546 and 11551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11546 and 11551. First we will calculate the prime factors of 11546 and 11551.

Prime Factorization of 11546

Prime Factorization of 11551

Now multiplying the highest exponent prime factors to calculate the LCM of 11546 and 11551.

LCM(11546,11551) = 2¹ × 23¹ × 251¹ × 11551¹
LCM(11546,11551) = 133367846