What is the Least Common Multiple of 27784 and 27793?

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 27784 and 27793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27784 and 27793, than apply into the LCM equation.

GCF(27784,27793) = 1
LCM(27784,27793) = ( 27784 × 27793) / 1
LCM(27784,27793) = 772200712 / 1
LCM(27784,27793) = 772200712

Least Common Multiple (LCM) of 27784 and 27793 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27784 and 27793. First we will calculate the prime factors of 27784 and 27793.

Prime Factorization of 27784

Prime Factorization of 27793

Now multiplying the highest exponent prime factors to calculate the LCM of 27784 and 27793.

LCM(27784,27793) = 2³ × 23¹ × 151¹ × 27793¹
LCM(27784,27793) = 772200712