What is the Least Common Multiple of 35688 and 35704?

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 35688 and 35704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35688 and 35704, than apply into the LCM equation.

GCF(35688,35704) = 8
LCM(35688,35704) = ( 35688 × 35704) / 8
LCM(35688,35704) = 1274204352 / 8
LCM(35688,35704) = 159275544

Least Common Multiple (LCM) of 35688 and 35704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35688 and 35704. First we will calculate the prime factors of 35688 and 35704.

Prime Factorization of 35688

Prime Factorization of 35704

Now multiplying the highest exponent prime factors to calculate the LCM of 35688 and 35704.

LCM(35688,35704) = 2³ × 3¹ × 1487¹ × 4463¹
LCM(35688,35704) = 159275544