What is the Least Common Multiple of 2780 and 2785?

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 2780 and 2785 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2780 and 2785, than apply into the LCM equation.

GCF(2780,2785) = 5
LCM(2780,2785) = ( 2780 × 2785) / 5
LCM(2780,2785) = 7742300 / 5
LCM(2780,2785) = 1548460

Least Common Multiple (LCM) of 2780 and 2785 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2780 and 2785. First we will calculate the prime factors of 2780 and 2785.

Prime Factorization of 2780

Prime Factorization of 2785

Now multiplying the highest exponent prime factors to calculate the LCM of 2780 and 2785.

LCM(2780,2785) = 2² × 5¹ × 139¹ × 557¹
LCM(2780,2785) = 1548460