What is the Least Common Multiple of 59151 and 59169?

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 59151 and 59169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59151 and 59169, than apply into the LCM equation.

GCF(59151,59169) = 3
LCM(59151,59169) = ( 59151 × 59169) / 3
LCM(59151,59169) = 3499905519 / 3
LCM(59151,59169) = 1166635173

Least Common Multiple (LCM) of 59151 and 59169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 59151 and 59169. First we will calculate the prime factors of 59151 and 59169.

Prime Factorization of 59151

Prime Factorization of 59169

Now multiplying the highest exponent prime factors to calculate the LCM of 59151 and 59169.

LCM(59151,59169) = 3¹ × 19717¹ × 11² × 163¹
LCM(59151,59169) = 1166635173