What is the Least Common Multiple of 62914 and 62927?

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 62914 and 62927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62914 and 62927, than apply into the LCM equation.

GCF(62914,62927) = 1
LCM(62914,62927) = ( 62914 × 62927) / 1
LCM(62914,62927) = 3958989278 / 1
LCM(62914,62927) = 3958989278

Least Common Multiple (LCM) of 62914 and 62927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62914 and 62927. First we will calculate the prime factors of 62914 and 62927.

Prime Factorization of 62914

Prime Factorization of 62927

Now multiplying the highest exponent prime factors to calculate the LCM of 62914 and 62927.

LCM(62914,62927) = 2¹ × 83¹ × 379¹ × 62927¹
LCM(62914,62927) = 3958989278