What is the Least Common Multiple of 37250 and 37258?

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 37250 and 37258 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37250 and 37258, than apply into the LCM equation.

GCF(37250,37258) = 2
LCM(37250,37258) = ( 37250 × 37258) / 2
LCM(37250,37258) = 1387860500 / 2
LCM(37250,37258) = 693930250

Least Common Multiple (LCM) of 37250 and 37258 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37250 and 37258. First we will calculate the prime factors of 37250 and 37258.

Prime Factorization of 37250

Prime Factorization of 37258

Now multiplying the highest exponent prime factors to calculate the LCM of 37250 and 37258.

LCM(37250,37258) = 2¹ × 5³ × 149¹ × 13¹ × 1433¹
LCM(37250,37258) = 693930250