What is the Least Common Multiple of 62829 and 62835?

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 62829 and 62835 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62829 and 62835, than apply into the LCM equation.

GCF(62829,62835) = 3
LCM(62829,62835) = ( 62829 × 62835) / 3
LCM(62829,62835) = 3947860215 / 3
LCM(62829,62835) = 1315953405

Least Common Multiple (LCM) of 62829 and 62835 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62829 and 62835. First we will calculate the prime factors of 62829 and 62835.

Prime Factorization of 62829

Prime Factorization of 62835

Now multiplying the highest exponent prime factors to calculate the LCM of 62829 and 62835.

LCM(62829,62835) = 3³ × 13¹ × 179¹ × 5¹ × 59¹ × 71¹
LCM(62829,62835) = 1315953405