What is the Least Common Multiple of 43904 and 43914?

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 43914 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 43914, than apply into the LCM equation.

GCF(43904,43914) = 2
LCM(43904,43914) = ( 43904 × 43914) / 2
LCM(43904,43914) = 1928000256 / 2
LCM(43904,43914) = 964000128

Least Common Multiple (LCM) of 43904 and 43914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43904 and 43914. First we will calculate the prime factors of 43904 and 43914.

Prime Factorization of 43904

Prime Factorization of 43914

Now multiplying the highest exponent prime factors to calculate the LCM of 43904 and 43914.

LCM(43904,43914) = 2⁷ × 7³ × 3¹ × 13¹ × 563¹
LCM(43904,43914) = 964000128