What is the Least Common Multiple of 93904 and 93914?

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 93904 and 93914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93904 and 93914, than apply into the LCM equation.

GCF(93904,93914) = 2
LCM(93904,93914) = ( 93904 × 93914) / 2
LCM(93904,93914) = 8818900256 / 2
LCM(93904,93914) = 4409450128

Least Common Multiple (LCM) of 93904 and 93914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93904 and 93914. First we will calculate the prime factors of 93904 and 93914.

Prime Factorization of 93904

Prime Factorization of 93914

Now multiplying the highest exponent prime factors to calculate the LCM of 93904 and 93914.

LCM(93904,93914) = 2⁴ × 5869¹ × 46957¹
LCM(93904,93914) = 4409450128