What is the Least Common Multiple of 80908 and 80912?

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 80908 and 80912 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80908 and 80912, than apply into the LCM equation.

GCF(80908,80912) = 4
LCM(80908,80912) = ( 80908 × 80912) / 4
LCM(80908,80912) = 6546428096 / 4
LCM(80908,80912) = 1636607024

Least Common Multiple (LCM) of 80908 and 80912 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80908 and 80912. First we will calculate the prime factors of 80908 and 80912.

Prime Factorization of 80908

Prime Factorization of 80912

Now multiplying the highest exponent prime factors to calculate the LCM of 80908 and 80912.

LCM(80908,80912) = 2⁴ × 113¹ × 179¹ × 13¹ × 389¹
LCM(80908,80912) = 1636607024