What is the Least Common Multiple of 43442 and 43459?

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 43442 and 43459 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43442 and 43459, than apply into the LCM equation.

GCF(43442,43459) = 1
LCM(43442,43459) = ( 43442 × 43459) / 1
LCM(43442,43459) = 1887945878 / 1
LCM(43442,43459) = 1887945878

Least Common Multiple (LCM) of 43442 and 43459 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43442 and 43459. First we will calculate the prime factors of 43442 and 43459.

Prime Factorization of 43442

Prime Factorization of 43459

Now multiplying the highest exponent prime factors to calculate the LCM of 43442 and 43459.

LCM(43442,43459) = 2¹ × 7¹ × 29¹ × 107¹ × 13¹ × 3343¹
LCM(43442,43459) = 1887945878