What is the Least Common Multiple of 43543 and 43560?

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 43543 and 43560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43543 and 43560, than apply into the LCM equation.

GCF(43543,43560) = 1
LCM(43543,43560) = ( 43543 × 43560) / 1
LCM(43543,43560) = 1896733080 / 1
LCM(43543,43560) = 1896733080

Least Common Multiple (LCM) of 43543 and 43560 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43543 and 43560. First we will calculate the prime factors of 43543 and 43560.

Prime Factorization of 43543

Prime Factorization of 43560

Now multiplying the highest exponent prime factors to calculate the LCM of 43543 and 43560.

LCM(43543,43560) = 43543¹ × 2³ × 3² × 5¹ × 11²
LCM(43543,43560) = 1896733080