What is the Least Common Multiple of 43904 and 43918?

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 43904 and 43918 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43904 and 43918, than apply into the LCM equation.

GCF(43904,43918) = 14
LCM(43904,43918) = ( 43904 × 43918) / 14
LCM(43904,43918) = 1928175872 / 14
LCM(43904,43918) = 137726848

Least Common Multiple (LCM) of 43904 and 43918 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43904 and 43918. First we will calculate the prime factors of 43904 and 43918.

Prime Factorization of 43904

Prime Factorization of 43918

Now multiplying the highest exponent prime factors to calculate the LCM of 43904 and 43918.

LCM(43904,43918) = 2⁷ × 7³ × 3137¹
LCM(43904,43918) = 137726848