What is the Least Common Multiple of 62893 and 62913?

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 62893 and 62913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62893 and 62913, than apply into the LCM equation.

GCF(62893,62913) = 1
LCM(62893,62913) = ( 62893 × 62913) / 1
LCM(62893,62913) = 3956787309 / 1
LCM(62893,62913) = 3956787309

Least Common Multiple (LCM) of 62893 and 62913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62893 and 62913. First we will calculate the prime factors of 62893 and 62913.

Prime Factorization of 62893

Prime Factorization of 62913

Now multiplying the highest exponent prime factors to calculate the LCM of 62893 and 62913.

LCM(62893,62913) = 109¹ × 577¹ × 3¹ × 67¹ × 313¹
LCM(62893,62913) = 3956787309