What is the Least Common Multiple of 43536 and 43542?

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 43542 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 43542, than apply into the LCM equation.

GCF(43536,43542) = 6
LCM(43536,43542) = ( 43536 × 43542) / 6
LCM(43536,43542) = 1895644512 / 6
LCM(43536,43542) = 315940752

Least Common Multiple (LCM) of 43536 and 43542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43536 and 43542. First we will calculate the prime factors of 43536 and 43542.

Prime Factorization of 43536

Prime Factorization of 43542

Now multiplying the highest exponent prime factors to calculate the LCM of 43536 and 43542.

LCM(43536,43542) = 2⁴ × 3² × 907¹ × 41¹ × 59¹
LCM(43536,43542) = 315940752