What is the Least Common Multiple of 69729 and 69747?

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 69729 and 69747 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69729 and 69747, than apply into the LCM equation.

GCF(69729,69747) = 3
LCM(69729,69747) = ( 69729 × 69747) / 3
LCM(69729,69747) = 4863388563 / 3
LCM(69729,69747) = 1621129521

Least Common Multiple (LCM) of 69729 and 69747 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69729 and 69747. First we will calculate the prime factors of 69729 and 69747.

Prime Factorization of 69729

Prime Factorization of 69747

Now multiplying the highest exponent prime factors to calculate the LCM of 69729 and 69747.

LCM(69729,69747) = 3¹ × 11¹ × 2113¹ × 67¹ × 347¹
LCM(69729,69747) = 1621129521