What is the Least Common Multiple of 43449 and 43456?

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 43449 and 43456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43449 and 43456, than apply into the LCM equation.

GCF(43449,43456) = 7
LCM(43449,43456) = ( 43449 × 43456) / 7
LCM(43449,43456) = 1888119744 / 7
LCM(43449,43456) = 269731392

Least Common Multiple (LCM) of 43449 and 43456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43449 and 43456. First we will calculate the prime factors of 43449 and 43456.

Prime Factorization of 43449

Prime Factorization of 43456

Now multiplying the highest exponent prime factors to calculate the LCM of 43449 and 43456.

LCM(43449,43456) = 3¹ × 7¹ × 2069¹ × 2⁶ × 97¹
LCM(43449,43456) = 269731392