What is the Least Common Multiple of 32772 and 32781?

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 32772 and 32781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32772 and 32781, than apply into the LCM equation.

GCF(32772,32781) = 3
LCM(32772,32781) = ( 32772 × 32781) / 3
LCM(32772,32781) = 1074298932 / 3
LCM(32772,32781) = 358099644

Least Common Multiple (LCM) of 32772 and 32781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32772 and 32781. First we will calculate the prime factors of 32772 and 32781.

Prime Factorization of 32772

Prime Factorization of 32781

Now multiplying the highest exponent prime factors to calculate the LCM of 32772 and 32781.

LCM(32772,32781) = 2² × 3¹ × 2731¹ × 7² × 223¹
LCM(32772,32781) = 358099644