What is the Least Common Multiple of 82772 and 82784?

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 82772 and 82784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82772 and 82784, than apply into the LCM equation.

GCF(82772,82784) = 4
LCM(82772,82784) = ( 82772 × 82784) / 4
LCM(82772,82784) = 6852197248 / 4
LCM(82772,82784) = 1713049312

Least Common Multiple (LCM) of 82772 and 82784 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82772 and 82784. First we will calculate the prime factors of 82772 and 82784.

Prime Factorization of 82772

Prime Factorization of 82784

Now multiplying the highest exponent prime factors to calculate the LCM of 82772 and 82784.

LCM(82772,82784) = 2⁵ × 20693¹ × 13¹ × 199¹
LCM(82772,82784) = 1713049312