What is the Least Common Multiple of 58545 and 58550?

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 58545 and 58550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58545 and 58550, than apply into the LCM equation.

GCF(58545,58550) = 5
LCM(58545,58550) = ( 58545 × 58550) / 5
LCM(58545,58550) = 3427809750 / 5
LCM(58545,58550) = 685561950

Least Common Multiple (LCM) of 58545 and 58550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58545 and 58550. First we will calculate the prime factors of 58545 and 58550.

Prime Factorization of 58545

Prime Factorization of 58550

Now multiplying the highest exponent prime factors to calculate the LCM of 58545 and 58550.

LCM(58545,58550) = 3² × 5² × 1301¹ × 2¹ × 1171¹
LCM(58545,58550) = 685561950