What is the Least Common Multiple of 11546 and 11558?

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 11558 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 11558, than apply into the LCM equation.

GCF(11546,11558) = 2
LCM(11546,11558) = ( 11546 × 11558) / 2
LCM(11546,11558) = 133448668 / 2
LCM(11546,11558) = 66724334

Least Common Multiple (LCM) of 11546 and 11558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11546 and 11558. First we will calculate the prime factors of 11546 and 11558.

Prime Factorization of 11546

Prime Factorization of 11558

Now multiplying the highest exponent prime factors to calculate the LCM of 11546 and 11558.

LCM(11546,11558) = 2¹ × 23¹ × 251¹ × 5779¹
LCM(11546,11558) = 66724334