What is the Least Common Multiple of 23097 and 23106?

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 23097 and 23106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23097 and 23106, than apply into the LCM equation.

GCF(23097,23106) = 3
LCM(23097,23106) = ( 23097 × 23106) / 3
LCM(23097,23106) = 533679282 / 3
LCM(23097,23106) = 177893094

Least Common Multiple (LCM) of 23097 and 23106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23097 and 23106. First we will calculate the prime factors of 23097 and 23106.

Prime Factorization of 23097

Prime Factorization of 23106

Now multiplying the highest exponent prime factors to calculate the LCM of 23097 and 23106.

LCM(23097,23106) = 3¹ × 7699¹ × 2¹ × 3851¹
LCM(23097,23106) = 177893094