What is the Least Common Multiple of 95904 and 95914?

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 95904 and 95914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95904 and 95914, than apply into the LCM equation.

GCF(95904,95914) = 2
LCM(95904,95914) = ( 95904 × 95914) / 2
LCM(95904,95914) = 9198536256 / 2
LCM(95904,95914) = 4599268128

Least Common Multiple (LCM) of 95904 and 95914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95904 and 95914. First we will calculate the prime factors of 95904 and 95914.

Prime Factorization of 95904

Prime Factorization of 95914

Now multiplying the highest exponent prime factors to calculate the LCM of 95904 and 95914.

LCM(95904,95914) = 2⁵ × 3⁴ × 37¹ × 7¹ × 13¹ × 17¹ × 31¹
LCM(95904,95914) = 4599268128