What is the Least Common Multiple of 45585 and 45590?

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 45585 and 45590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45585 and 45590, than apply into the LCM equation.

GCF(45585,45590) = 5
LCM(45585,45590) = ( 45585 × 45590) / 5
LCM(45585,45590) = 2078220150 / 5
LCM(45585,45590) = 415644030

Least Common Multiple (LCM) of 45585 and 45590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45585 and 45590. First we will calculate the prime factors of 45585 and 45590.

Prime Factorization of 45585

Prime Factorization of 45590

Now multiplying the highest exponent prime factors to calculate the LCM of 45585 and 45590.

LCM(45585,45590) = 3² × 5¹ × 1013¹ × 2¹ × 47¹ × 97¹
LCM(45585,45590) = 415644030