What is the Least Common Multiple of 62614 and 62626?

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 62614 and 62626 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62614 and 62626, than apply into the LCM equation.

GCF(62614,62626) = 2
LCM(62614,62626) = ( 62614 × 62626) / 2
LCM(62614,62626) = 3921264364 / 2
LCM(62614,62626) = 1960632182

Least Common Multiple (LCM) of 62614 and 62626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62614 and 62626. First we will calculate the prime factors of 62614 and 62626.

Prime Factorization of 62614

Prime Factorization of 62626

Now multiplying the highest exponent prime factors to calculate the LCM of 62614 and 62626.

LCM(62614,62626) = 2¹ × 31307¹ × 173¹ × 181¹
LCM(62614,62626) = 1960632182