What is the Least Common Multiple of 82836 and 82848?

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 82836 and 82848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82836 and 82848, than apply into the LCM equation.

GCF(82836,82848) = 12
LCM(82836,82848) = ( 82836 × 82848) / 12
LCM(82836,82848) = 6862796928 / 12
LCM(82836,82848) = 571899744

Least Common Multiple (LCM) of 82836 and 82848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82836 and 82848. First we will calculate the prime factors of 82836 and 82848.

Prime Factorization of 82836

Prime Factorization of 82848

Now multiplying the highest exponent prime factors to calculate the LCM of 82836 and 82848.

LCM(82836,82848) = 2⁵ × 3³ × 13¹ × 59¹ × 863¹
LCM(82836,82848) = 571899744