What is the Least Common Multiple of 54208 and 54214?

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 54208 and 54214 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54208 and 54214, than apply into the LCM equation.

GCF(54208,54214) = 2
LCM(54208,54214) = ( 54208 × 54214) / 2
LCM(54208,54214) = 2938832512 / 2
LCM(54208,54214) = 1469416256

Least Common Multiple (LCM) of 54208 and 54214 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54208 and 54214. First we will calculate the prime factors of 54208 and 54214.

Prime Factorization of 54208

Prime Factorization of 54214

Now multiplying the highest exponent prime factors to calculate the LCM of 54208 and 54214.

LCM(54208,54214) = 2⁶ × 7¹ × 11² × 27107¹
LCM(54208,54214) = 1469416256