What is the Least Common Multiple of 62530 and 62543?

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 62530 and 62543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62530 and 62543, than apply into the LCM equation.

GCF(62530,62543) = 13
LCM(62530,62543) = ( 62530 × 62543) / 13
LCM(62530,62543) = 3910813790 / 13
LCM(62530,62543) = 300831830

Least Common Multiple (LCM) of 62530 and 62543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62530 and 62543. First we will calculate the prime factors of 62530 and 62543.

Prime Factorization of 62530

Prime Factorization of 62543

Now multiplying the highest exponent prime factors to calculate the LCM of 62530 and 62543.

LCM(62530,62543) = 2¹ × 5¹ × 13² × 37¹ × 17¹ × 283¹
LCM(62530,62543) = 300831830