What is the Least Common Multiple of 32840 and 32852?

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 32840 and 32852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32840 and 32852, than apply into the LCM equation.

GCF(32840,32852) = 4
LCM(32840,32852) = ( 32840 × 32852) / 4
LCM(32840,32852) = 1078859680 / 4
LCM(32840,32852) = 269714920

Least Common Multiple (LCM) of 32840 and 32852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32840 and 32852. First we will calculate the prime factors of 32840 and 32852.

Prime Factorization of 32840

Prime Factorization of 32852

Now multiplying the highest exponent prime factors to calculate the LCM of 32840 and 32852.

LCM(32840,32852) = 2³ × 5¹ × 821¹ × 43¹ × 191¹
LCM(32840,32852) = 269714920