What is the Least Common Multiple of 62491 and 62507?

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 62491 and 62507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62491 and 62507, than apply into the LCM equation.

GCF(62491,62507) = 1
LCM(62491,62507) = ( 62491 × 62507) / 1
LCM(62491,62507) = 3906124937 / 1
LCM(62491,62507) = 3906124937

Least Common Multiple (LCM) of 62491 and 62507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62491 and 62507. First we will calculate the prime factors of 62491 and 62507.

Prime Factorization of 62491

Prime Factorization of 62507

Now multiplying the highest exponent prime factors to calculate the LCM of 62491 and 62507.

LCM(62491,62507) = 11¹ × 13¹ × 19¹ × 23¹ × 62507¹
LCM(62491,62507) = 3906124937