What is the Least Common Multiple of 62854 and 62872?

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 62854 and 62872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62854 and 62872, than apply into the LCM equation.

GCF(62854,62872) = 2
LCM(62854,62872) = ( 62854 × 62872) / 2
LCM(62854,62872) = 3951756688 / 2
LCM(62854,62872) = 1975878344

Least Common Multiple (LCM) of 62854 and 62872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62854 and 62872. First we will calculate the prime factors of 62854 and 62872.

Prime Factorization of 62854

Prime Factorization of 62872

Now multiplying the highest exponent prime factors to calculate the LCM of 62854 and 62872.

LCM(62854,62872) = 2³ × 11¹ × 2857¹ × 29¹ × 271¹
LCM(62854,62872) = 1975878344