What is the Least Common Multiple of 5890 and 5905?

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 5890 and 5905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5890 and 5905, than apply into the LCM equation.

GCF(5890,5905) = 5
LCM(5890,5905) = ( 5890 × 5905) / 5
LCM(5890,5905) = 34780450 / 5
LCM(5890,5905) = 6956090

Least Common Multiple (LCM) of 5890 and 5905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5890 and 5905. First we will calculate the prime factors of 5890 and 5905.

Prime Factorization of 5890

Prime Factorization of 5905

Now multiplying the highest exponent prime factors to calculate the LCM of 5890 and 5905.

LCM(5890,5905) = 2¹ × 5¹ × 19¹ × 31¹ × 1181¹
LCM(5890,5905) = 6956090