What is the Least Common Multiple of 62860 and 62867?

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 62860 and 62867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62860 and 62867, than apply into the LCM equation.

GCF(62860,62867) = 7
LCM(62860,62867) = ( 62860 × 62867) / 7
LCM(62860,62867) = 3951819620 / 7
LCM(62860,62867) = 564545660

Least Common Multiple (LCM) of 62860 and 62867 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62860 and 62867. First we will calculate the prime factors of 62860 and 62867.

Prime Factorization of 62860

Prime Factorization of 62867

Now multiplying the highest exponent prime factors to calculate the LCM of 62860 and 62867.

LCM(62860,62867) = 2² × 5¹ × 7² × 449¹ × 1283¹
LCM(62860,62867) = 564545660