What is the Least Common Multiple of 65580 and 65590?

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 65580 and 65590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65580 and 65590, than apply into the LCM equation.

GCF(65580,65590) = 10
LCM(65580,65590) = ( 65580 × 65590) / 10
LCM(65580,65590) = 4301392200 / 10
LCM(65580,65590) = 430139220

Least Common Multiple (LCM) of 65580 and 65590 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65580 and 65590. First we will calculate the prime factors of 65580 and 65590.

Prime Factorization of 65580

Prime Factorization of 65590

Now multiplying the highest exponent prime factors to calculate the LCM of 65580 and 65590.

LCM(65580,65590) = 2² × 3¹ × 5¹ × 1093¹ × 7¹ × 937¹
LCM(65580,65590) = 430139220