What is the Least Common Multiple of 26760 and 26780?

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 26760 and 26780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26760 and 26780, than apply into the LCM equation.

GCF(26760,26780) = 20
LCM(26760,26780) = ( 26760 × 26780) / 20
LCM(26760,26780) = 716632800 / 20
LCM(26760,26780) = 35831640

Least Common Multiple (LCM) of 26760 and 26780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26760 and 26780. First we will calculate the prime factors of 26760 and 26780.

Prime Factorization of 26760

Prime Factorization of 26780

Now multiplying the highest exponent prime factors to calculate the LCM of 26760 and 26780.

LCM(26760,26780) = 2³ × 3¹ × 5¹ × 223¹ × 13¹ × 103¹
LCM(26760,26780) = 35831640