What is the Least Common Multiple of 32792 and 32802?

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 32792 and 32802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32792 and 32802, than apply into the LCM equation.

GCF(32792,32802) = 2
LCM(32792,32802) = ( 32792 × 32802) / 2
LCM(32792,32802) = 1075643184 / 2
LCM(32792,32802) = 537821592

Least Common Multiple (LCM) of 32792 and 32802 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32792 and 32802. First we will calculate the prime factors of 32792 and 32802.

Prime Factorization of 32792

Prime Factorization of 32802

Now multiplying the highest exponent prime factors to calculate the LCM of 32792 and 32802.

LCM(32792,32802) = 2³ × 4099¹ × 3¹ × 7¹ × 11¹ × 71¹
LCM(32792,32802) = 537821592