What is the Least Common Multiple of 96908 and 96914?

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 96908 and 96914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96908 and 96914, than apply into the LCM equation.

GCF(96908,96914) = 2
LCM(96908,96914) = ( 96908 × 96914) / 2
LCM(96908,96914) = 9391741912 / 2
LCM(96908,96914) = 4695870956

Least Common Multiple (LCM) of 96908 and 96914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96908 and 96914. First we will calculate the prime factors of 96908 and 96914.

Prime Factorization of 96908

Prime Factorization of 96914

Now multiplying the highest exponent prime factors to calculate the LCM of 96908 and 96914.

LCM(96908,96914) = 2² × 7¹ × 3461¹ × 47¹ × 1031¹
LCM(96908,96914) = 4695870956