What is the Least Common Multiple of 20735 and 20748?

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 20748 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 20748, than apply into the LCM equation.

GCF(20735,20748) = 13
LCM(20735,20748) = ( 20735 × 20748) / 13
LCM(20735,20748) = 430209780 / 13
LCM(20735,20748) = 33093060

Least Common Multiple (LCM) of 20735 and 20748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20735 and 20748. First we will calculate the prime factors of 20735 and 20748.

Prime Factorization of 20735

Prime Factorization of 20748

Now multiplying the highest exponent prime factors to calculate the LCM of 20735 and 20748.

LCM(20735,20748) = 5¹ × 11¹ × 13¹ × 29¹ × 2² × 3¹ × 7¹ × 19¹
LCM(20735,20748) = 33093060