What is the Least Common Multiple of 62913 and 62926?

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 62913 and 62926 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62913 and 62926, than apply into the LCM equation.

GCF(62913,62926) = 1
LCM(62913,62926) = ( 62913 × 62926) / 1
LCM(62913,62926) = 3958863438 / 1
LCM(62913,62926) = 3958863438

Least Common Multiple (LCM) of 62913 and 62926 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62913 and 62926. First we will calculate the prime factors of 62913 and 62926.

Prime Factorization of 62913

Prime Factorization of 62926

Now multiplying the highest exponent prime factors to calculate the LCM of 62913 and 62926.

LCM(62913,62926) = 3¹ × 67¹ × 313¹ × 2¹ × 73¹ × 431¹
LCM(62913,62926) = 3958863438