What is the Least Common Multiple of 82057 and 82069?

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 82057 and 82069 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82057 and 82069, than apply into the LCM equation.

GCF(82057,82069) = 1
LCM(82057,82069) = ( 82057 × 82069) / 1
LCM(82057,82069) = 6734335933 / 1
LCM(82057,82069) = 6734335933

Least Common Multiple (LCM) of 82057 and 82069 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82057 and 82069. First we will calculate the prime factors of 82057 and 82069.

Prime Factorization of 82057

Prime Factorization of 82069

Now multiplying the highest exponent prime factors to calculate the LCM of 82057 and 82069.

LCM(82057,82069) = 31¹ × 2647¹ × 13¹ × 59¹ × 107¹
LCM(82057,82069) = 6734335933