What is the Least Common Multiple of 35844 and 35852?

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 35844 and 35852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35844 and 35852, than apply into the LCM equation.

GCF(35844,35852) = 4
LCM(35844,35852) = ( 35844 × 35852) / 4
LCM(35844,35852) = 1285079088 / 4
LCM(35844,35852) = 321269772

Least Common Multiple (LCM) of 35844 and 35852 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35844 and 35852. First we will calculate the prime factors of 35844 and 35852.

Prime Factorization of 35844

Prime Factorization of 35852

Now multiplying the highest exponent prime factors to calculate the LCM of 35844 and 35852.

LCM(35844,35852) = 2² × 3¹ × 29¹ × 103¹ × 8963¹
LCM(35844,35852) = 321269772