What is the Least Common Multiple of 37040 and 37055?

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 37040 and 37055 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37040 and 37055, than apply into the LCM equation.

GCF(37040,37055) = 5
LCM(37040,37055) = ( 37040 × 37055) / 5
LCM(37040,37055) = 1372517200 / 5
LCM(37040,37055) = 274503440

Least Common Multiple (LCM) of 37040 and 37055 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37040 and 37055. First we will calculate the prime factors of 37040 and 37055.

Prime Factorization of 37040

Prime Factorization of 37055

Now multiplying the highest exponent prime factors to calculate the LCM of 37040 and 37055.

LCM(37040,37055) = 2⁴ × 5¹ × 463¹ × 7411¹
LCM(37040,37055) = 274503440