What is the Least Common Multiple of 62408 and 62424?

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 62408 and 62424 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62408 and 62424, than apply into the LCM equation.

GCF(62408,62424) = 8
LCM(62408,62424) = ( 62408 × 62424) / 8
LCM(62408,62424) = 3895756992 / 8
LCM(62408,62424) = 486969624

Least Common Multiple (LCM) of 62408 and 62424 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62408 and 62424. First we will calculate the prime factors of 62408 and 62424.

Prime Factorization of 62408

Prime Factorization of 62424

Now multiplying the highest exponent prime factors to calculate the LCM of 62408 and 62424.

LCM(62408,62424) = 2³ × 29¹ × 269¹ × 3³ × 17²
LCM(62408,62424) = 486969624