What is the Least Common Multiple of 11562 and 11576?

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 11562 and 11576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11562 and 11576, than apply into the LCM equation.

GCF(11562,11576) = 2
LCM(11562,11576) = ( 11562 × 11576) / 2
LCM(11562,11576) = 133841712 / 2
LCM(11562,11576) = 66920856

Least Common Multiple (LCM) of 11562 and 11576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11562 and 11576. First we will calculate the prime factors of 11562 and 11576.

Prime Factorization of 11562

Prime Factorization of 11576

Now multiplying the highest exponent prime factors to calculate the LCM of 11562 and 11576.

LCM(11562,11576) = 2³ × 3¹ × 41¹ × 47¹ × 1447¹
LCM(11562,11576) = 66920856