What is the Least Common Multiple of 58540 and 58545?

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 58540 and 58545 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58540 and 58545, than apply into the LCM equation.

GCF(58540,58545) = 5
LCM(58540,58545) = ( 58540 × 58545) / 5
LCM(58540,58545) = 3427224300 / 5
LCM(58540,58545) = 685444860

Least Common Multiple (LCM) of 58540 and 58545 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58540 and 58545. First we will calculate the prime factors of 58540 and 58545.

Prime Factorization of 58540

Prime Factorization of 58545

Now multiplying the highest exponent prime factors to calculate the LCM of 58540 and 58545.

LCM(58540,58545) = 2² × 5¹ × 2927¹ × 3² × 1301¹
LCM(58540,58545) = 685444860