What is the Least Common Multiple of 11552 and 11562?

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 11552 and 11562 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11552 and 11562, than apply into the LCM equation.

GCF(11552,11562) = 2
LCM(11552,11562) = ( 11552 × 11562) / 2
LCM(11552,11562) = 133564224 / 2
LCM(11552,11562) = 66782112

Least Common Multiple (LCM) of 11552 and 11562 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11552 and 11562. First we will calculate the prime factors of 11552 and 11562.

Prime Factorization of 11552

Prime Factorization of 11562

Now multiplying the highest exponent prime factors to calculate the LCM of 11552 and 11562.

LCM(11552,11562) = 2⁵ × 19² × 3¹ × 41¹ × 47¹
LCM(11552,11562) = 66782112