What is the Least Common Multiple of 908 and 914?

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 908 and 914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 908 and 914, than apply into the LCM equation.

GCF(908,914) = 2
LCM(908,914) = ( 908 × 914) / 2
LCM(908,914) = 829912 / 2
LCM(908,914) = 414956

Least Common Multiple (LCM) of 908 and 914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 908 and 914. First we will calculate the prime factors of 908 and 914.

Prime Factorization of 908

Prime Factorization of 914

Now multiplying the highest exponent prime factors to calculate the LCM of 908 and 914.

LCM(908,914) = 2² × 227¹ × 457¹
LCM(908,914) = 414956