What is the Least Common Multiple of 54208 and 54219?

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 54219 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 54219, than apply into the LCM equation.

GCF(54208,54219) = 11
LCM(54208,54219) = ( 54208 × 54219) / 11
LCM(54208,54219) = 2939103552 / 11
LCM(54208,54219) = 267191232

Least Common Multiple (LCM) of 54208 and 54219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54208 and 54219. First we will calculate the prime factors of 54208 and 54219.

Prime Factorization of 54208

Prime Factorization of 54219

Now multiplying the highest exponent prime factors to calculate the LCM of 54208 and 54219.

LCM(54208,54219) = 2⁶ × 7¹ × 11² × 3¹ × 31¹ × 53¹
LCM(54208,54219) = 267191232