What is the Least Common Multiple of 20735 and 20749?

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 20735 and 20749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20735 and 20749, than apply into the LCM equation.

GCF(20735,20749) = 1
LCM(20735,20749) = ( 20735 × 20749) / 1
LCM(20735,20749) = 430230515 / 1
LCM(20735,20749) = 430230515

Least Common Multiple (LCM) of 20735 and 20749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20735 and 20749. First we will calculate the prime factors of 20735 and 20749.

Prime Factorization of 20735

Prime Factorization of 20749

Now multiplying the highest exponent prime factors to calculate the LCM of 20735 and 20749.

LCM(20735,20749) = 5¹ × 11¹ × 13¹ × 29¹ × 20749¹
LCM(20735,20749) = 430230515