What is the Least Common Multiple of 43758 and 43763?

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 43758 and 43763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43758 and 43763, than apply into the LCM equation.

GCF(43758,43763) = 1
LCM(43758,43763) = ( 43758 × 43763) / 1
LCM(43758,43763) = 1914981354 / 1
LCM(43758,43763) = 1914981354

Least Common Multiple (LCM) of 43758 and 43763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43758 and 43763. First we will calculate the prime factors of 43758 and 43763.

Prime Factorization of 43758

Prime Factorization of 43763

Now multiplying the highest exponent prime factors to calculate the LCM of 43758 and 43763.

LCM(43758,43763) = 2¹ × 3² × 11¹ × 13¹ × 17¹ × 107¹ × 409¹
LCM(43758,43763) = 1914981354