What is the Least Common Multiple of 27890 and 27905?

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 27890 and 27905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27890 and 27905, than apply into the LCM equation.

GCF(27890,27905) = 5
LCM(27890,27905) = ( 27890 × 27905) / 5
LCM(27890,27905) = 778270450 / 5
LCM(27890,27905) = 155654090

Least Common Multiple (LCM) of 27890 and 27905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27890 and 27905. First we will calculate the prime factors of 27890 and 27905.

Prime Factorization of 27890

Prime Factorization of 27905

Now multiplying the highest exponent prime factors to calculate the LCM of 27890 and 27905.

LCM(27890,27905) = 2¹ × 5¹ × 2789¹ × 5581¹
LCM(27890,27905) = 155654090