What is the Least Common Multiple of 23101 and 23109?

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 23101 and 23109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23101 and 23109, than apply into the LCM equation.

GCF(23101,23109) = 1
LCM(23101,23109) = ( 23101 × 23109) / 1
LCM(23101,23109) = 533841009 / 1
LCM(23101,23109) = 533841009

Least Common Multiple (LCM) of 23101 and 23109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23101 and 23109. First we will calculate the prime factors of 23101 and 23109.

Prime Factorization of 23101

Prime Factorization of 23109

Now multiplying the highest exponent prime factors to calculate the LCM of 23101 and 23109.

LCM(23101,23109) = 13¹ × 1777¹ × 3¹ × 7703¹
LCM(23101,23109) = 533841009