What is the Least Common Multiple of 23151 and 23162?

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 23151 and 23162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23151 and 23162, than apply into the LCM equation.

GCF(23151,23162) = 1
LCM(23151,23162) = ( 23151 × 23162) / 1
LCM(23151,23162) = 536223462 / 1
LCM(23151,23162) = 536223462

Least Common Multiple (LCM) of 23151 and 23162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23151 and 23162. First we will calculate the prime factors of 23151 and 23162.

Prime Factorization of 23151

Prime Factorization of 23162

Now multiplying the highest exponent prime factors to calculate the LCM of 23151 and 23162.

LCM(23151,23162) = 3¹ × 7717¹ × 2¹ × 37¹ × 313¹
LCM(23151,23162) = 536223462