What is the Least Common Multiple of 26560 and 26578?

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 26560 and 26578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26560 and 26578, than apply into the LCM equation.

GCF(26560,26578) = 2
LCM(26560,26578) = ( 26560 × 26578) / 2
LCM(26560,26578) = 705911680 / 2
LCM(26560,26578) = 352955840

Least Common Multiple (LCM) of 26560 and 26578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26560 and 26578. First we will calculate the prime factors of 26560 and 26578.

Prime Factorization of 26560

Prime Factorization of 26578

Now multiplying the highest exponent prime factors to calculate the LCM of 26560 and 26578.

LCM(26560,26578) = 2⁶ × 5¹ × 83¹ × 97¹ × 137¹
LCM(26560,26578) = 352955840