What is the Least Common Multiple of 27796 and 27815?

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 27796 and 27815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27796 and 27815, than apply into the LCM equation.

GCF(27796,27815) = 1
LCM(27796,27815) = ( 27796 × 27815) / 1
LCM(27796,27815) = 773145740 / 1
LCM(27796,27815) = 773145740

Least Common Multiple (LCM) of 27796 and 27815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27796 and 27815. First we will calculate the prime factors of 27796 and 27815.

Prime Factorization of 27796

Prime Factorization of 27815

Now multiplying the highest exponent prime factors to calculate the LCM of 27796 and 27815.

LCM(27796,27815) = 2² × 6949¹ × 5¹ × 5563¹
LCM(27796,27815) = 773145740