What is the Least Common Multiple of 37040 and 37045?

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 37045 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 37045, than apply into the LCM equation.

GCF(37040,37045) = 5
LCM(37040,37045) = ( 37040 × 37045) / 5
LCM(37040,37045) = 1372146800 / 5
LCM(37040,37045) = 274429360

Least Common Multiple (LCM) of 37040 and 37045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37040 and 37045. First we will calculate the prime factors of 37040 and 37045.

Prime Factorization of 37040

Prime Factorization of 37045

Now multiplying the highest exponent prime factors to calculate the LCM of 37040 and 37045.

LCM(37040,37045) = 2⁴ × 5¹ × 463¹ × 31¹ × 239¹
LCM(37040,37045) = 274429360