What is the Least Common Multiple of 32852 and 32864?

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 32852 and 32864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32852 and 32864, than apply into the LCM equation.

GCF(32852,32864) = 4
LCM(32852,32864) = ( 32852 × 32864) / 4
LCM(32852,32864) = 1079648128 / 4
LCM(32852,32864) = 269912032

Least Common Multiple (LCM) of 32852 and 32864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32852 and 32864. First we will calculate the prime factors of 32852 and 32864.

Prime Factorization of 32852

Prime Factorization of 32864

Now multiplying the highest exponent prime factors to calculate the LCM of 32852 and 32864.

LCM(32852,32864) = 2⁵ × 43¹ × 191¹ × 13¹ × 79¹
LCM(32852,32864) = 269912032