What is the Least Common Multiple of 74288 and 74292?

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 74288 and 74292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74288 and 74292, than apply into the LCM equation.

GCF(74288,74292) = 4
LCM(74288,74292) = ( 74288 × 74292) / 4
LCM(74288,74292) = 5519004096 / 4
LCM(74288,74292) = 1379751024

Least Common Multiple (LCM) of 74288 and 74292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74288 and 74292. First we will calculate the prime factors of 74288 and 74292.

Prime Factorization of 74288

Prime Factorization of 74292

Now multiplying the highest exponent prime factors to calculate the LCM of 74288 and 74292.

LCM(74288,74292) = 2⁴ × 4643¹ × 3¹ × 41¹ × 151¹
LCM(74288,74292) = 1379751024