What is the Least Common Multiple of 32814 and 32820?

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 32814 and 32820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32814 and 32820, than apply into the LCM equation.

GCF(32814,32820) = 6
LCM(32814,32820) = ( 32814 × 32820) / 6
LCM(32814,32820) = 1076955480 / 6
LCM(32814,32820) = 179492580

Least Common Multiple (LCM) of 32814 and 32820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32814 and 32820. First we will calculate the prime factors of 32814 and 32820.

Prime Factorization of 32814

Prime Factorization of 32820

Now multiplying the highest exponent prime factors to calculate the LCM of 32814 and 32820.

LCM(32814,32820) = 2² × 3² × 1823¹ × 5¹ × 547¹
LCM(32814,32820) = 179492580