What is the Least Common Multiple of 20765 and 20770?

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 20765 and 20770 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20765 and 20770, than apply into the LCM equation.

GCF(20765,20770) = 5
LCM(20765,20770) = ( 20765 × 20770) / 5
LCM(20765,20770) = 431289050 / 5
LCM(20765,20770) = 86257810

Least Common Multiple (LCM) of 20765 and 20770 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20765 and 20770. First we will calculate the prime factors of 20765 and 20770.

Prime Factorization of 20765

Prime Factorization of 20770

Now multiplying the highest exponent prime factors to calculate the LCM of 20765 and 20770.

LCM(20765,20770) = 5¹ × 4153¹ × 2¹ × 31¹ × 67¹
LCM(20765,20770) = 86257810