What is the Least Common Multiple of 37840 and 37845?

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 37840 and 37845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37840 and 37845, than apply into the LCM equation.

GCF(37840,37845) = 5
LCM(37840,37845) = ( 37840 × 37845) / 5
LCM(37840,37845) = 1432054800 / 5
LCM(37840,37845) = 286410960

Least Common Multiple (LCM) of 37840 and 37845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37840 and 37845. First we will calculate the prime factors of 37840 and 37845.

Prime Factorization of 37840

Prime Factorization of 37845

Now multiplying the highest exponent prime factors to calculate the LCM of 37840 and 37845.

LCM(37840,37845) = 2⁴ × 5¹ × 11¹ × 43¹ × 3² × 29²
LCM(37840,37845) = 286410960