What is the Least Common Multiple of 35156 and 35173?

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 35156 and 35173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35156 and 35173, than apply into the LCM equation.

GCF(35156,35173) = 17
LCM(35156,35173) = ( 35156 × 35173) / 17
LCM(35156,35173) = 1236541988 / 17
LCM(35156,35173) = 72737764

Least Common Multiple (LCM) of 35156 and 35173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35156 and 35173. First we will calculate the prime factors of 35156 and 35173.

Prime Factorization of 35156

Prime Factorization of 35173

Now multiplying the highest exponent prime factors to calculate the LCM of 35156 and 35173.

LCM(35156,35173) = 2² × 11¹ × 17¹ × 47¹ × 2069¹
LCM(35156,35173) = 72737764