What is the Least Common Multiple of 5258 and 5274?

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 5258 and 5274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5258 and 5274, than apply into the LCM equation.

GCF(5258,5274) = 2
LCM(5258,5274) = ( 5258 × 5274) / 2
LCM(5258,5274) = 27730692 / 2
LCM(5258,5274) = 13865346

Least Common Multiple (LCM) of 5258 and 5274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5258 and 5274. First we will calculate the prime factors of 5258 and 5274.

Prime Factorization of 5258

Prime Factorization of 5274

Now multiplying the highest exponent prime factors to calculate the LCM of 5258 and 5274.

LCM(5258,5274) = 2¹ × 11¹ × 239¹ × 3² × 293¹
LCM(5258,5274) = 13865346