What is the Least Common Multiple of 26208 and 26219?

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 26208 and 26219 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26208 and 26219, than apply into the LCM equation.

GCF(26208,26219) = 1
LCM(26208,26219) = ( 26208 × 26219) / 1
LCM(26208,26219) = 687147552 / 1
LCM(26208,26219) = 687147552

Least Common Multiple (LCM) of 26208 and 26219 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26208 and 26219. First we will calculate the prime factors of 26208 and 26219.

Prime Factorization of 26208

Prime Factorization of 26219

Now multiplying the highest exponent prime factors to calculate the LCM of 26208 and 26219.

LCM(26208,26219) = 2⁵ × 3² × 7¹ × 13¹ × 157¹ × 167¹
LCM(26208,26219) = 687147552