What is the Least Common Multiple of 43144 and 43162?

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 43144 and 43162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43144 and 43162, than apply into the LCM equation.

GCF(43144,43162) = 2
LCM(43144,43162) = ( 43144 × 43162) / 2
LCM(43144,43162) = 1862181328 / 2
LCM(43144,43162) = 931090664

Least Common Multiple (LCM) of 43144 and 43162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43144 and 43162. First we will calculate the prime factors of 43144 and 43162.

Prime Factorization of 43144

Prime Factorization of 43162

Now multiplying the highest exponent prime factors to calculate the LCM of 43144 and 43162.

LCM(43144,43162) = 2³ × 5393¹ × 7¹ × 3083¹
LCM(43144,43162) = 931090664