What is the Least Common Multiple of 20757 and 20775?

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 20757 and 20775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20757 and 20775, than apply into the LCM equation.

GCF(20757,20775) = 3
LCM(20757,20775) = ( 20757 × 20775) / 3
LCM(20757,20775) = 431226675 / 3
LCM(20757,20775) = 143742225

Least Common Multiple (LCM) of 20757 and 20775 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20757 and 20775. First we will calculate the prime factors of 20757 and 20775.

Prime Factorization of 20757

Prime Factorization of 20775

Now multiplying the highest exponent prime factors to calculate the LCM of 20757 and 20775.

LCM(20757,20775) = 3¹ × 11¹ × 17¹ × 37¹ × 5² × 277¹
LCM(20757,20775) = 143742225