What is the Least Common Multiple of 62712 and 62729?

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 62712 and 62729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62712 and 62729, than apply into the LCM equation.

GCF(62712,62729) = 1
LCM(62712,62729) = ( 62712 × 62729) / 1
LCM(62712,62729) = 3933861048 / 1
LCM(62712,62729) = 3933861048

Least Common Multiple (LCM) of 62712 and 62729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62712 and 62729. First we will calculate the prime factors of 62712 and 62729.

Prime Factorization of 62712

Prime Factorization of 62729

Now multiplying the highest exponent prime factors to calculate the LCM of 62712 and 62729.

LCM(62712,62729) = 2³ × 3² × 13¹ × 67¹ × 149¹ × 421¹
LCM(62712,62729) = 3933861048