What is the Least Common Multiple of 65580 and 65598?

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 65598 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 65598, than apply into the LCM equation.

GCF(65580,65598) = 6
LCM(65580,65598) = ( 65580 × 65598) / 6
LCM(65580,65598) = 4301916840 / 6
LCM(65580,65598) = 716986140

Least Common Multiple (LCM) of 65580 and 65598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65580 and 65598. First we will calculate the prime factors of 65580 and 65598.

Prime Factorization of 65580

Prime Factorization of 65598

Now multiplying the highest exponent prime factors to calculate the LCM of 65580 and 65598.

LCM(65580,65598) = 2² × 3¹ × 5¹ × 1093¹ × 13¹ × 29²
LCM(65580,65598) = 716986140