What is the Least Common Multiple of 20907 and 20913?

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 20907 and 20913 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20907 and 20913, than apply into the LCM equation.

GCF(20907,20913) = 3
LCM(20907,20913) = ( 20907 × 20913) / 3
LCM(20907,20913) = 437228091 / 3
LCM(20907,20913) = 145742697

Least Common Multiple (LCM) of 20907 and 20913 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20907 and 20913. First we will calculate the prime factors of 20907 and 20913.

Prime Factorization of 20907

Prime Factorization of 20913

Now multiplying the highest exponent prime factors to calculate the LCM of 20907 and 20913.

LCM(20907,20913) = 3² × 23¹ × 101¹ × 6971¹
LCM(20907,20913) = 145742697