What is the Least Common Multiple of 20760 and 20768?

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 20768 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 20768, than apply into the LCM equation.

GCF(20760,20768) = 8
LCM(20760,20768) = ( 20760 × 20768) / 8
LCM(20760,20768) = 431143680 / 8
LCM(20760,20768) = 53892960

Least Common Multiple (LCM) of 20760 and 20768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20760 and 20768. First we will calculate the prime factors of 20760 and 20768.

Prime Factorization of 20760

Prime Factorization of 20768

Now multiplying the highest exponent prime factors to calculate the LCM of 20760 and 20768.

LCM(20760,20768) = 2⁵ × 3¹ × 5¹ × 173¹ × 11¹ × 59¹
LCM(20760,20768) = 53892960