What is the Least Common Multiple of 27783 and 27797?

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 27783 and 27797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27783 and 27797, than apply into the LCM equation.

GCF(27783,27797) = 7
LCM(27783,27797) = ( 27783 × 27797) / 7
LCM(27783,27797) = 772284051 / 7
LCM(27783,27797) = 110326293

Least Common Multiple (LCM) of 27783 and 27797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27783 and 27797. First we will calculate the prime factors of 27783 and 27797.

Prime Factorization of 27783

Prime Factorization of 27797

Now multiplying the highest exponent prime factors to calculate the LCM of 27783 and 27797.

LCM(27783,27797) = 3⁴ × 7³ × 11¹ × 19²
LCM(27783,27797) = 110326293