What is the Least Common Multiple of 20739 and 20753?

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 20753 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 20753, than apply into the LCM equation.

GCF(20739,20753) = 1
LCM(20739,20753) = ( 20739 × 20753) / 1
LCM(20739,20753) = 430396467 / 1
LCM(20739,20753) = 430396467

Least Common Multiple (LCM) of 20739 and 20753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20739 and 20753. First we will calculate the prime factors of 20739 and 20753.

Prime Factorization of 20739

Prime Factorization of 20753

Now multiplying the highest exponent prime factors to calculate the LCM of 20739 and 20753.

LCM(20739,20753) = 3¹ × 31¹ × 223¹ × 20753¹
LCM(20739,20753) = 430396467