What is the Least Common Multiple of 26671 and 26680?

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 26671 and 26680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26671 and 26680, than apply into the LCM equation.

GCF(26671,26680) = 1
LCM(26671,26680) = ( 26671 × 26680) / 1
LCM(26671,26680) = 711582280 / 1
LCM(26671,26680) = 711582280

Least Common Multiple (LCM) of 26671 and 26680 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26671 and 26680. First we will calculate the prime factors of 26671 and 26680.

Prime Factorization of 26671

Prime Factorization of 26680

Now multiplying the highest exponent prime factors to calculate the LCM of 26671 and 26680.

LCM(26671,26680) = 149¹ × 179¹ × 2³ × 5¹ × 23¹ × 29¹
LCM(26671,26680) = 711582280