What is the Least Common Multiple of 23898 and 23907?

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 23898 and 23907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23898 and 23907, than apply into the LCM equation.

GCF(23898,23907) = 3
LCM(23898,23907) = ( 23898 × 23907) / 3
LCM(23898,23907) = 571329486 / 3
LCM(23898,23907) = 190443162

Least Common Multiple (LCM) of 23898 and 23907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 23898 and 23907. First we will calculate the prime factors of 23898 and 23907.

Prime Factorization of 23898

Prime Factorization of 23907

Now multiplying the highest exponent prime factors to calculate the LCM of 23898 and 23907.

LCM(23898,23907) = 2¹ × 3¹ × 7¹ × 569¹ × 13¹ × 613¹
LCM(23898,23907) = 190443162