What is the Least Common Multiple of 62716 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 62716 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 62716 and 62729, than apply into the LCM equation.

GCF(62716,62729) = 1
LCM(62716,62729) = ( 62716 × 62729) / 1
LCM(62716,62729) = 3934111964 / 1
LCM(62716,62729) = 3934111964

Least Common Multiple (LCM) of 62716 and 62729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62716 and 62729. First we will calculate the prime factors of 62716 and 62729.

Prime Factorization of 62716

Prime Factorization of 62729

Now multiplying the highest exponent prime factors to calculate the LCM of 62716 and 62729.

LCM(62716,62729) = 2² × 15679¹ × 149¹ × 421¹
LCM(62716,62729) = 3934111964