What is the Least Common Multiple of 26740 and 26760?

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 26740 and 26760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26740 and 26760, than apply into the LCM equation.

GCF(26740,26760) = 20
LCM(26740,26760) = ( 26740 × 26760) / 20
LCM(26740,26760) = 715562400 / 20
LCM(26740,26760) = 35778120

Least Common Multiple (LCM) of 26740 and 26760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26740 and 26760. First we will calculate the prime factors of 26740 and 26760.

Prime Factorization of 26740

Prime Factorization of 26760

Now multiplying the highest exponent prime factors to calculate the LCM of 26740 and 26760.

LCM(26740,26760) = 2³ × 5¹ × 7¹ × 191¹ × 3¹ × 223¹
LCM(26740,26760) = 35778120