What is the Least Common Multiple of 11523 and 11542?

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 11523 and 11542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11523 and 11542, than apply into the LCM equation.

GCF(11523,11542) = 1
LCM(11523,11542) = ( 11523 × 11542) / 1
LCM(11523,11542) = 132998466 / 1
LCM(11523,11542) = 132998466

Least Common Multiple (LCM) of 11523 and 11542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11523 and 11542. First we will calculate the prime factors of 11523 and 11542.

Prime Factorization of 11523

Prime Factorization of 11542

Now multiplying the highest exponent prime factors to calculate the LCM of 11523 and 11542.

LCM(11523,11542) = 3¹ × 23¹ × 167¹ × 2¹ × 29¹ × 199¹
LCM(11523,11542) = 132998466