What is the Least Common Multiple of 85904 and 85914?

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 85904 and 85914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85904 and 85914, than apply into the LCM equation.

GCF(85904,85914) = 2
LCM(85904,85914) = ( 85904 × 85914) / 2
LCM(85904,85914) = 7380356256 / 2
LCM(85904,85914) = 3690178128

Least Common Multiple (LCM) of 85904 and 85914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85904 and 85914. First we will calculate the prime factors of 85904 and 85914.

Prime Factorization of 85904

Prime Factorization of 85914

Now multiplying the highest exponent prime factors to calculate the LCM of 85904 and 85914.

LCM(85904,85914) = 2⁴ × 7¹ × 13¹ × 59¹ × 3³ × 37¹ × 43¹
LCM(85904,85914) = 3690178128