What is the Least Common Multiple of 43840 and 43851?

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 43840 and 43851 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43840 and 43851, than apply into the LCM equation.

GCF(43840,43851) = 1
LCM(43840,43851) = ( 43840 × 43851) / 1
LCM(43840,43851) = 1922427840 / 1
LCM(43840,43851) = 1922427840

Least Common Multiple (LCM) of 43840 and 43851 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43840 and 43851. First we will calculate the prime factors of 43840 and 43851.

Prime Factorization of 43840

Prime Factorization of 43851

Now multiplying the highest exponent prime factors to calculate the LCM of 43840 and 43851.

LCM(43840,43851) = 2⁶ × 5¹ × 137¹ × 3¹ × 47¹ × 311¹
LCM(43840,43851) = 1922427840