What is the Least Common Multiple of 20734 and 20751?

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 20734 and 20751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20734 and 20751, than apply into the LCM equation.

GCF(20734,20751) = 1
LCM(20734,20751) = ( 20734 × 20751) / 1
LCM(20734,20751) = 430251234 / 1
LCM(20734,20751) = 430251234

Least Common Multiple (LCM) of 20734 and 20751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20734 and 20751. First we will calculate the prime factors of 20734 and 20751.

Prime Factorization of 20734

Prime Factorization of 20751

Now multiplying the highest exponent prime factors to calculate the LCM of 20734 and 20751.

LCM(20734,20751) = 2¹ × 7¹ × 1481¹ × 3¹ × 6917¹
LCM(20734,20751) = 430251234