What is the Least Common Multiple of 37258 and 37274?

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 37258 and 37274 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37258 and 37274, than apply into the LCM equation.

GCF(37258,37274) = 2
LCM(37258,37274) = ( 37258 × 37274) / 2
LCM(37258,37274) = 1388754692 / 2
LCM(37258,37274) = 694377346

Least Common Multiple (LCM) of 37258 and 37274 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37258 and 37274. First we will calculate the prime factors of 37258 and 37274.

Prime Factorization of 37258

Prime Factorization of 37274

Now multiplying the highest exponent prime factors to calculate the LCM of 37258 and 37274.

LCM(37258,37274) = 2¹ × 13¹ × 1433¹ × 18637¹
LCM(37258,37274) = 694377346