What is the Least Common Multiple of 82632 and 82641?

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 82632 and 82641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82632 and 82641, than apply into the LCM equation.

GCF(82632,82641) = 3
LCM(82632,82641) = ( 82632 × 82641) / 3
LCM(82632,82641) = 6828791112 / 3
LCM(82632,82641) = 2276263704

Least Common Multiple (LCM) of 82632 and 82641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82632 and 82641. First we will calculate the prime factors of 82632 and 82641.

Prime Factorization of 82632

Prime Factorization of 82641

Now multiplying the highest exponent prime factors to calculate the LCM of 82632 and 82641.

LCM(82632,82641) = 2³ × 3¹ × 11¹ × 313¹ × 13² × 163¹
LCM(82632,82641) = 2276263704