What is the Least Common Multiple of 43542 and 43556?

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 43542 and 43556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43542 and 43556, than apply into the LCM equation.

GCF(43542,43556) = 2
LCM(43542,43556) = ( 43542 × 43556) / 2
LCM(43542,43556) = 1896515352 / 2
LCM(43542,43556) = 948257676

Least Common Multiple (LCM) of 43542 and 43556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43542 and 43556. First we will calculate the prime factors of 43542 and 43556.

Prime Factorization of 43542

Prime Factorization of 43556

Now multiplying the highest exponent prime factors to calculate the LCM of 43542 and 43556.

LCM(43542,43556) = 2² × 3² × 41¹ × 59¹ × 10889¹
LCM(43542,43556) = 948257676