What is the Least Common Multiple of 35832 and 35836?

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 35832 and 35836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35832 and 35836, than apply into the LCM equation.

GCF(35832,35836) = 4
LCM(35832,35836) = ( 35832 × 35836) / 4
LCM(35832,35836) = 1284075552 / 4
LCM(35832,35836) = 321018888

Least Common Multiple (LCM) of 35832 and 35836 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35832 and 35836. First we will calculate the prime factors of 35832 and 35836.

Prime Factorization of 35832

Prime Factorization of 35836

Now multiplying the highest exponent prime factors to calculate the LCM of 35832 and 35836.

LCM(35832,35836) = 2³ × 3¹ × 1493¹ × 17² × 31¹
LCM(35832,35836) = 321018888