What is the Least Common Multiple of 69709 and 69729?

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 69709 and 69729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69709 and 69729, than apply into the LCM equation.

GCF(69709,69729) = 1
LCM(69709,69729) = ( 69709 × 69729) / 1
LCM(69709,69729) = 4860738861 / 1
LCM(69709,69729) = 4860738861

Least Common Multiple (LCM) of 69709 and 69729 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69709 and 69729. First we will calculate the prime factors of 69709 and 69729.

Prime Factorization of 69709

Prime Factorization of 69729

Now multiplying the highest exponent prime factors to calculate the LCM of 69709 and 69729.

LCM(69709,69729) = 69709¹ × 3¹ × 11¹ × 2113¹
LCM(69709,69729) = 4860738861