What is the Least Common Multiple of 43152 and 43169?

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 43152 and 43169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43152 and 43169, than apply into the LCM equation.

GCF(43152,43169) = 1
LCM(43152,43169) = ( 43152 × 43169) / 1
LCM(43152,43169) = 1862828688 / 1
LCM(43152,43169) = 1862828688

Least Common Multiple (LCM) of 43152 and 43169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43152 and 43169. First we will calculate the prime factors of 43152 and 43169.

Prime Factorization of 43152

Prime Factorization of 43169

Now multiplying the highest exponent prime factors to calculate the LCM of 43152 and 43169.

LCM(43152,43169) = 2⁴ × 3¹ × 29¹ × 31¹ × 7² × 881¹
LCM(43152,43169) = 1862828688