What is the Least Common Multiple of 26235 and 26244?

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 26235 and 26244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26235 and 26244, than apply into the LCM equation.

GCF(26235,26244) = 9
LCM(26235,26244) = ( 26235 × 26244) / 9
LCM(26235,26244) = 688511340 / 9
LCM(26235,26244) = 76501260

Least Common Multiple (LCM) of 26235 and 26244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26235 and 26244. First we will calculate the prime factors of 26235 and 26244.

Prime Factorization of 26235

Prime Factorization of 26244

Now multiplying the highest exponent prime factors to calculate the LCM of 26235 and 26244.

LCM(26235,26244) = 3⁸ × 5¹ × 11¹ × 53¹ × 2²
LCM(26235,26244) = 76501260