What is the Least Common Multiple of 43845 and 43856?

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 43845 and 43856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43845 and 43856, than apply into the LCM equation.

GCF(43845,43856) = 1
LCM(43845,43856) = ( 43845 × 43856) / 1
LCM(43845,43856) = 1922866320 / 1
LCM(43845,43856) = 1922866320

Least Common Multiple (LCM) of 43845 and 43856 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43845 and 43856. First we will calculate the prime factors of 43845 and 43856.

Prime Factorization of 43845

Prime Factorization of 43856

Now multiplying the highest exponent prime factors to calculate the LCM of 43845 and 43856.

LCM(43845,43856) = 3¹ × 5¹ × 37¹ × 79¹ × 2⁴ × 2741¹
LCM(43845,43856) = 1922866320