What is the Least Common Multiple of 62580 and 62589?

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 62580 and 62589 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62580 and 62589, than apply into the LCM equation.

GCF(62580,62589) = 3
LCM(62580,62589) = ( 62580 × 62589) / 3
LCM(62580,62589) = 3916819620 / 3
LCM(62580,62589) = 1305606540

Least Common Multiple (LCM) of 62580 and 62589 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62580 and 62589. First we will calculate the prime factors of 62580 and 62589.

Prime Factorization of 62580

Prime Factorization of 62589

Now multiplying the highest exponent prime factors to calculate the LCM of 62580 and 62589.

LCM(62580,62589) = 2² × 3¹ × 5¹ × 7¹ × 149¹ × 31¹ × 673¹
LCM(62580,62589) = 1305606540