What is the Least Common Multiple of 65604 and 65610?

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 65604 and 65610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65604 and 65610, than apply into the LCM equation.

GCF(65604,65610) = 6
LCM(65604,65610) = ( 65604 × 65610) / 6
LCM(65604,65610) = 4304278440 / 6
LCM(65604,65610) = 717379740

Least Common Multiple (LCM) of 65604 and 65610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65604 and 65610. First we will calculate the prime factors of 65604 and 65610.

Prime Factorization of 65604

Prime Factorization of 65610

Now multiplying the highest exponent prime factors to calculate the LCM of 65604 and 65610.

LCM(65604,65610) = 2² × 3⁸ × 7¹ × 11¹ × 71¹ × 5¹
LCM(65604,65610) = 717379740