What is the Least Common Multiple of 20739 and 20743?

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 20739 and 20743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20739 and 20743, than apply into the LCM equation.

GCF(20739,20743) = 1
LCM(20739,20743) = ( 20739 × 20743) / 1
LCM(20739,20743) = 430189077 / 1
LCM(20739,20743) = 430189077

Least Common Multiple (LCM) of 20739 and 20743 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20739 and 20743. First we will calculate the prime factors of 20739 and 20743.

Prime Factorization of 20739

Prime Factorization of 20743

Now multiplying the highest exponent prime factors to calculate the LCM of 20739 and 20743.

LCM(20739,20743) = 3¹ × 31¹ × 223¹ × 20743¹
LCM(20739,20743) = 430189077