What is the Least Common Multiple of 92208 and 92214?

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 92208 and 92214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92208 and 92214, than apply into the LCM equation.

GCF(92208,92214) = 6
LCM(92208,92214) = ( 92208 × 92214) / 6
LCM(92208,92214) = 8502868512 / 6
LCM(92208,92214) = 1417144752

Least Common Multiple (LCM) of 92208 and 92214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92208 and 92214. First we will calculate the prime factors of 92208 and 92214.

Prime Factorization of 92208

Prime Factorization of 92214

Now multiplying the highest exponent prime factors to calculate the LCM of 92208 and 92214.

LCM(92208,92214) = 2⁴ × 3² × 17¹ × 113¹ × 47¹ × 109¹
LCM(92208,92214) = 1417144752