What is the Least Common Multiple of 54208 and 54215?

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 54215 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 54215, than apply into the LCM equation.

GCF(54208,54215) = 7
LCM(54208,54215) = ( 54208 × 54215) / 7
LCM(54208,54215) = 2938886720 / 7
LCM(54208,54215) = 419840960

Least Common Multiple (LCM) of 54208 and 54215 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54208 and 54215. First we will calculate the prime factors of 54208 and 54215.

Prime Factorization of 54208

Prime Factorization of 54215

Now multiplying the highest exponent prime factors to calculate the LCM of 54208 and 54215.

LCM(54208,54215) = 2⁶ × 7¹ × 11² × 5¹ × 1549¹
LCM(54208,54215) = 419840960