What is the Least Common Multiple of 80288 and 80304?

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 80288 and 80304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80288 and 80304, than apply into the LCM equation.

GCF(80288,80304) = 16
LCM(80288,80304) = ( 80288 × 80304) / 16
LCM(80288,80304) = 6447447552 / 16
LCM(80288,80304) = 402965472

Least Common Multiple (LCM) of 80288 and 80304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80288 and 80304. First we will calculate the prime factors of 80288 and 80304.

Prime Factorization of 80288

Prime Factorization of 80304

Now multiplying the highest exponent prime factors to calculate the LCM of 80288 and 80304.

LCM(80288,80304) = 2⁵ × 13¹ × 193¹ × 3¹ × 7¹ × 239¹
LCM(80288,80304) = 402965472