What is the Least Common Multiple of 74269 and 74288?

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 74269 and 74288 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74269 and 74288, than apply into the LCM equation.

GCF(74269,74288) = 1
LCM(74269,74288) = ( 74269 × 74288) / 1
LCM(74269,74288) = 5517295472 / 1
LCM(74269,74288) = 5517295472

Least Common Multiple (LCM) of 74269 and 74288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74269 and 74288. First we will calculate the prime factors of 74269 and 74288.

Prime Factorization of 74269

Prime Factorization of 74288

Now multiplying the highest exponent prime factors to calculate the LCM of 74269 and 74288.

LCM(74269,74288) = 13¹ × 29¹ × 197¹ × 2⁴ × 4643¹
LCM(74269,74288) = 5517295472