What is the Least Common Multiple of 35704 and 35724?

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 35704 and 35724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35704 and 35724, than apply into the LCM equation.

GCF(35704,35724) = 4
LCM(35704,35724) = ( 35704 × 35724) / 4
LCM(35704,35724) = 1275489696 / 4
LCM(35704,35724) = 318872424

Least Common Multiple (LCM) of 35704 and 35724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35704 and 35724. First we will calculate the prime factors of 35704 and 35724.

Prime Factorization of 35704

Prime Factorization of 35724

Now multiplying the highest exponent prime factors to calculate the LCM of 35704 and 35724.

LCM(35704,35724) = 2³ × 4463¹ × 3¹ × 13¹ × 229¹
LCM(35704,35724) = 318872424