What is the Least Common Multiple of 43536 and 43543?

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 43536 and 43543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43536 and 43543, than apply into the LCM equation.

GCF(43536,43543) = 1
LCM(43536,43543) = ( 43536 × 43543) / 1
LCM(43536,43543) = 1895688048 / 1
LCM(43536,43543) = 1895688048

Least Common Multiple (LCM) of 43536 and 43543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43536 and 43543. First we will calculate the prime factors of 43536 and 43543.

Prime Factorization of 43536

Prime Factorization of 43543

Now multiplying the highest exponent prime factors to calculate the LCM of 43536 and 43543.

LCM(43536,43543) = 2⁴ × 3¹ × 907¹ × 43543¹
LCM(43536,43543) = 1895688048