What is the Least Common Multiple of 35916 and 35931?

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 35916 and 35931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35916 and 35931, than apply into the LCM equation.

GCF(35916,35931) = 3
LCM(35916,35931) = ( 35916 × 35931) / 3
LCM(35916,35931) = 1290497796 / 3
LCM(35916,35931) = 430165932

Least Common Multiple (LCM) of 35916 and 35931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35916 and 35931. First we will calculate the prime factors of 35916 and 35931.

Prime Factorization of 35916

Prime Factorization of 35931

Now multiplying the highest exponent prime factors to calculate the LCM of 35916 and 35931.

LCM(35916,35931) = 2² × 3¹ × 41¹ × 73¹ × 7¹ × 29¹ × 59¹
LCM(35916,35931) = 430165932