What is the Least Common Multiple of 20760 and 20767?

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 20760 and 20767 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20760 and 20767, than apply into the LCM equation.

GCF(20760,20767) = 1
LCM(20760,20767) = ( 20760 × 20767) / 1
LCM(20760,20767) = 431122920 / 1
LCM(20760,20767) = 431122920

Least Common Multiple (LCM) of 20760 and 20767 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20760 and 20767. First we will calculate the prime factors of 20760 and 20767.

Prime Factorization of 20760

Prime Factorization of 20767

Now multiplying the highest exponent prime factors to calculate the LCM of 20760 and 20767.

LCM(20760,20767) = 2³ × 3¹ × 5¹ × 173¹ × 19¹ × 1093¹
LCM(20760,20767) = 431122920