What is the Least Common Multiple of 53694 and 53709?

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 53694 and 53709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53694 and 53709, than apply into the LCM equation.

GCF(53694,53709) = 3
LCM(53694,53709) = ( 53694 × 53709) / 3
LCM(53694,53709) = 2883851046 / 3
LCM(53694,53709) = 961283682

Least Common Multiple (LCM) of 53694 and 53709 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53694 and 53709. First we will calculate the prime factors of 53694 and 53709.

Prime Factorization of 53694

Prime Factorization of 53709

Now multiplying the highest exponent prime factors to calculate the LCM of 53694 and 53709.

LCM(53694,53709) = 2¹ × 3² × 19¹ × 157¹ × 17903¹
LCM(53694,53709) = 961283682