What is the Least Common Multiple of 26228 and 26240?

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 26228 and 26240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26228 and 26240, than apply into the LCM equation.

GCF(26228,26240) = 4
LCM(26228,26240) = ( 26228 × 26240) / 4
LCM(26228,26240) = 688222720 / 4
LCM(26228,26240) = 172055680

Least Common Multiple (LCM) of 26228 and 26240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26228 and 26240. First we will calculate the prime factors of 26228 and 26240.

Prime Factorization of 26228

Prime Factorization of 26240

Now multiplying the highest exponent prime factors to calculate the LCM of 26228 and 26240.

LCM(26228,26240) = 2⁷ × 79¹ × 83¹ × 5¹ × 41¹
LCM(26228,26240) = 172055680