What is the Least Common Multiple of 43701 and 43720?

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 43701 and 43720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43701 and 43720, than apply into the LCM equation.

GCF(43701,43720) = 1
LCM(43701,43720) = ( 43701 × 43720) / 1
LCM(43701,43720) = 1910607720 / 1
LCM(43701,43720) = 1910607720

Least Common Multiple (LCM) of 43701 and 43720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43701 and 43720. First we will calculate the prime factors of 43701 and 43720.

Prime Factorization of 43701

Prime Factorization of 43720

Now multiplying the highest exponent prime factors to calculate the LCM of 43701 and 43720.

LCM(43701,43720) = 3¹ × 7¹ × 2081¹ × 2³ × 5¹ × 1093¹
LCM(43701,43720) = 1910607720