What is the Least Common Multiple of 74282 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 74282 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 74282 and 74288, than apply into the LCM equation.

GCF(74282,74288) = 2
LCM(74282,74288) = ( 74282 × 74288) / 2
LCM(74282,74288) = 5518261216 / 2
LCM(74282,74288) = 2759130608

Least Common Multiple (LCM) of 74282 and 74288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74282 and 74288. First we will calculate the prime factors of 74282 and 74288.

Prime Factorization of 74282

Prime Factorization of 74288

Now multiplying the highest exponent prime factors to calculate the LCM of 74282 and 74288.

LCM(74282,74288) = 2⁴ × 13¹ × 2857¹ × 4643¹
LCM(74282,74288) = 2759130608