What is the Least Common Multiple of 43426 and 43434?

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 43426 and 43434 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43426 and 43434, than apply into the LCM equation.

GCF(43426,43434) = 2
LCM(43426,43434) = ( 43426 × 43434) / 2
LCM(43426,43434) = 1886164884 / 2
LCM(43426,43434) = 943082442

Least Common Multiple (LCM) of 43426 and 43434 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43426 and 43434. First we will calculate the prime factors of 43426 and 43434.

Prime Factorization of 43426

Prime Factorization of 43434

Now multiplying the highest exponent prime factors to calculate the LCM of 43426 and 43434.

LCM(43426,43434) = 2¹ × 21713¹ × 3² × 19¹ × 127¹
LCM(43426,43434) = 943082442