What is the Least Common Multiple of 32736 and 32743?

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 32736 and 32743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32736 and 32743, than apply into the LCM equation.

GCF(32736,32743) = 1
LCM(32736,32743) = ( 32736 × 32743) / 1
LCM(32736,32743) = 1071874848 / 1
LCM(32736,32743) = 1071874848

Least Common Multiple (LCM) of 32736 and 32743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32736 and 32743. First we will calculate the prime factors of 32736 and 32743.

Prime Factorization of 32736

Prime Factorization of 32743

Now multiplying the highest exponent prime factors to calculate the LCM of 32736 and 32743.

LCM(32736,32743) = 2⁵ × 3¹ × 11¹ × 31¹ × 137¹ × 239¹
LCM(32736,32743) = 1071874848