What is the Least Common Multiple of 68904 and 68914?

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 68904 and 68914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68904 and 68914, than apply into the LCM equation.

GCF(68904,68914) = 2
LCM(68904,68914) = ( 68904 × 68914) / 2
LCM(68904,68914) = 4748450256 / 2
LCM(68904,68914) = 2374225128

Least Common Multiple (LCM) of 68904 and 68914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68904 and 68914. First we will calculate the prime factors of 68904 and 68914.

Prime Factorization of 68904

Prime Factorization of 68914

Now multiplying the highest exponent prime factors to calculate the LCM of 68904 and 68914.

LCM(68904,68914) = 2³ × 3³ × 11¹ × 29¹ × 34457¹
LCM(68904,68914) = 2374225128