What is the Least Common Multiple of 27483 and 27503?

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 27483 and 27503 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27483 and 27503, than apply into the LCM equation.

GCF(27483,27503) = 1
LCM(27483,27503) = ( 27483 × 27503) / 1
LCM(27483,27503) = 755864949 / 1
LCM(27483,27503) = 755864949

Least Common Multiple (LCM) of 27483 and 27503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27483 and 27503. First we will calculate the prime factors of 27483 and 27503.

Prime Factorization of 27483

Prime Factorization of 27503

Now multiplying the highest exponent prime factors to calculate the LCM of 27483 and 27503.

LCM(27483,27503) = 3¹ × 9161¹ × 7¹ × 3929¹
LCM(27483,27503) = 755864949