What is the Least Common Multiple of 76790 and 76810?

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 76790 and 76810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76790 and 76810, than apply into the LCM equation.

GCF(76790,76810) = 10
LCM(76790,76810) = ( 76790 × 76810) / 10
LCM(76790,76810) = 5898239900 / 10
LCM(76790,76810) = 589823990

Least Common Multiple (LCM) of 76790 and 76810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76790 and 76810. First we will calculate the prime factors of 76790 and 76810.

Prime Factorization of 76790

Prime Factorization of 76810

Now multiplying the highest exponent prime factors to calculate the LCM of 76790 and 76810.

LCM(76790,76810) = 2¹ × 5¹ × 7¹ × 1097¹ × 7681¹
LCM(76790,76810) = 589823990