What is the Least Common Multiple of 26560 and 26565?

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 26565 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 26565, than apply into the LCM equation.

GCF(26560,26565) = 5
LCM(26560,26565) = ( 26560 × 26565) / 5
LCM(26560,26565) = 705566400 / 5
LCM(26560,26565) = 141113280

Least Common Multiple (LCM) of 26560 and 26565 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26560 and 26565. First we will calculate the prime factors of 26560 and 26565.

Prime Factorization of 26560

Prime Factorization of 26565

Now multiplying the highest exponent prime factors to calculate the LCM of 26560 and 26565.

LCM(26560,26565) = 2⁶ × 5¹ × 83¹ × 3¹ × 7¹ × 11¹ × 23¹
LCM(26560,26565) = 141113280