What is the Least Common Multiple of 82072 and 82077?

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 82072 and 82077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82072 and 82077, than apply into the LCM equation.

GCF(82072,82077) = 1
LCM(82072,82077) = ( 82072 × 82077) / 1
LCM(82072,82077) = 6736223544 / 1
LCM(82072,82077) = 6736223544

Least Common Multiple (LCM) of 82072 and 82077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82072 and 82077. First we will calculate the prime factors of 82072 and 82077.

Prime Factorization of 82072

Prime Factorization of 82077

Now multiplying the highest exponent prime factors to calculate the LCM of 82072 and 82077.

LCM(82072,82077) = 2³ × 10259¹ × 3¹ × 109¹ × 251¹
LCM(82072,82077) = 6736223544