What is the Least Common Multiple of 96208 and 96214?

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 96208 and 96214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96208 and 96214, than apply into the LCM equation.

GCF(96208,96214) = 2
LCM(96208,96214) = ( 96208 × 96214) / 2
LCM(96208,96214) = 9256556512 / 2
LCM(96208,96214) = 4628278256

Least Common Multiple (LCM) of 96208 and 96214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96208 and 96214. First we will calculate the prime factors of 96208 and 96214.

Prime Factorization of 96208

Prime Factorization of 96214

Now multiplying the highest exponent prime factors to calculate the LCM of 96208 and 96214.

LCM(96208,96214) = 2⁴ × 7¹ × 859¹ × 73¹ × 659¹
LCM(96208,96214) = 4628278256