What is the Least Common Multiple of 11532 and 11546?

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 11532 and 11546 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11532 and 11546, than apply into the LCM equation.

GCF(11532,11546) = 2
LCM(11532,11546) = ( 11532 × 11546) / 2
LCM(11532,11546) = 133148472 / 2
LCM(11532,11546) = 66574236

Least Common Multiple (LCM) of 11532 and 11546 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11532 and 11546. First we will calculate the prime factors of 11532 and 11546.

Prime Factorization of 11532

Prime Factorization of 11546

Now multiplying the highest exponent prime factors to calculate the LCM of 11532 and 11546.

LCM(11532,11546) = 2² × 3¹ × 31² × 23¹ × 251¹
LCM(11532,11546) = 66574236