What is the Least Common Multiple of 82912 and 82927?

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 82912 and 82927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82912 and 82927, than apply into the LCM equation.

GCF(82912,82927) = 1
LCM(82912,82927) = ( 82912 × 82927) / 1
LCM(82912,82927) = 6875643424 / 1
LCM(82912,82927) = 6875643424

Least Common Multiple (LCM) of 82912 and 82927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82912 and 82927. First we will calculate the prime factors of 82912 and 82927.

Prime Factorization of 82912

Prime Factorization of 82927

Now multiplying the highest exponent prime factors to calculate the LCM of 82912 and 82927.

LCM(82912,82927) = 2⁵ × 2591¹ × 13¹ × 6379¹
LCM(82912,82927) = 6875643424