What is the Least Common Multiple of 20931 and 20949?

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 20931 and 20949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20931 and 20949, than apply into the LCM equation.

GCF(20931,20949) = 3
LCM(20931,20949) = ( 20931 × 20949) / 3
LCM(20931,20949) = 438483519 / 3
LCM(20931,20949) = 146161173

Least Common Multiple (LCM) of 20931 and 20949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20931 and 20949. First we will calculate the prime factors of 20931 and 20949.

Prime Factorization of 20931

Prime Factorization of 20949

Now multiplying the highest exponent prime factors to calculate the LCM of 20931 and 20949.

LCM(20931,20949) = 3¹ × 6977¹ × 6983¹
LCM(20931,20949) = 146161173