What is the Least Common Multiple of 2785 and 2797?

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 2785 and 2797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2785 and 2797, than apply into the LCM equation.

GCF(2785,2797) = 1
LCM(2785,2797) = ( 2785 × 2797) / 1
LCM(2785,2797) = 7789645 / 1
LCM(2785,2797) = 7789645

Least Common Multiple (LCM) of 2785 and 2797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2785 and 2797. First we will calculate the prime factors of 2785 and 2797.

Prime Factorization of 2785

Prime Factorization of 2797

Now multiplying the highest exponent prime factors to calculate the LCM of 2785 and 2797.

LCM(2785,2797) = 5¹ × 557¹ × 2797¹
LCM(2785,2797) = 7789645