What is the Least Common Multiple of 2760 and 2780?

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 2760 and 2780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2760 and 2780, than apply into the LCM equation.

GCF(2760,2780) = 20
LCM(2760,2780) = ( 2760 × 2780) / 20
LCM(2760,2780) = 7672800 / 20
LCM(2760,2780) = 383640

Least Common Multiple (LCM) of 2760 and 2780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2760 and 2780. First we will calculate the prime factors of 2760 and 2780.

Prime Factorization of 2760

Prime Factorization of 2780

Now multiplying the highest exponent prime factors to calculate the LCM of 2760 and 2780.

LCM(2760,2780) = 2³ × 3¹ × 5¹ × 23¹ × 139¹
LCM(2760,2780) = 383640