What is the Least Common Multiple of 26048 and 26062?

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 26048 and 26062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26048 and 26062, than apply into the LCM equation.

GCF(26048,26062) = 2
LCM(26048,26062) = ( 26048 × 26062) / 2
LCM(26048,26062) = 678862976 / 2
LCM(26048,26062) = 339431488

Least Common Multiple (LCM) of 26048 and 26062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26048 and 26062. First we will calculate the prime factors of 26048 and 26062.

Prime Factorization of 26048

Prime Factorization of 26062

Now multiplying the highest exponent prime factors to calculate the LCM of 26048 and 26062.

LCM(26048,26062) = 2⁶ × 11¹ × 37¹ × 83¹ × 157¹
LCM(26048,26062) = 339431488