What is the Least Common Multiple of 43524 and 43536?

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 43524 and 43536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43524 and 43536, than apply into the LCM equation.

GCF(43524,43536) = 12
LCM(43524,43536) = ( 43524 × 43536) / 12
LCM(43524,43536) = 1894860864 / 12
LCM(43524,43536) = 157905072

Least Common Multiple (LCM) of 43524 and 43536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43524 and 43536. First we will calculate the prime factors of 43524 and 43536.

Prime Factorization of 43524

Prime Factorization of 43536

Now multiplying the highest exponent prime factors to calculate the LCM of 43524 and 43536.

LCM(43524,43536) = 2⁴ × 3³ × 13¹ × 31¹ × 907¹
LCM(43524,43536) = 157905072