What is the Least Common Multiple of 11748 and 11760?

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 11748 and 11760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11748 and 11760, than apply into the LCM equation.

GCF(11748,11760) = 12
LCM(11748,11760) = ( 11748 × 11760) / 12
LCM(11748,11760) = 138156480 / 12
LCM(11748,11760) = 11513040

Least Common Multiple (LCM) of 11748 and 11760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11748 and 11760. First we will calculate the prime factors of 11748 and 11760.

Prime Factorization of 11748

Prime Factorization of 11760

Now multiplying the highest exponent prime factors to calculate the LCM of 11748 and 11760.

LCM(11748,11760) = 2⁴ × 3¹ × 11¹ × 89¹ × 5¹ × 7²
LCM(11748,11760) = 11513040