What is the Least Common Multiple of 26048 and 26053?

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 26053 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 26053, than apply into the LCM equation.

GCF(26048,26053) = 1
LCM(26048,26053) = ( 26048 × 26053) / 1
LCM(26048,26053) = 678628544 / 1
LCM(26048,26053) = 678628544

Least Common Multiple (LCM) of 26048 and 26053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26048 and 26053. First we will calculate the prime factors of 26048 and 26053.

Prime Factorization of 26048

Prime Factorization of 26053

Now multiplying the highest exponent prime factors to calculate the LCM of 26048 and 26053.

LCM(26048,26053) = 2⁶ × 11¹ × 37¹ × 26053¹
LCM(26048,26053) = 678628544