What is the Least Common Multiple of 74288 and 74297?

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 74297 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 74297, than apply into the LCM equation.

GCF(74288,74297) = 1
LCM(74288,74297) = ( 74288 × 74297) / 1
LCM(74288,74297) = 5519375536 / 1
LCM(74288,74297) = 5519375536

Least Common Multiple (LCM) of 74288 and 74297 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74288 and 74297. First we will calculate the prime factors of 74288 and 74297.

Prime Factorization of 74288

Prime Factorization of 74297

Now multiplying the highest exponent prime factors to calculate the LCM of 74288 and 74297.

LCM(74288,74297) = 2⁴ × 4643¹ × 74297¹
LCM(74288,74297) = 5519375536