What is the Least Common Multiple of 20723 and 20740?

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 20723 and 20740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20723 and 20740, than apply into the LCM equation.

GCF(20723,20740) = 17
LCM(20723,20740) = ( 20723 × 20740) / 17
LCM(20723,20740) = 429795020 / 17
LCM(20723,20740) = 25282060

Least Common Multiple (LCM) of 20723 and 20740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20723 and 20740. First we will calculate the prime factors of 20723 and 20740.

Prime Factorization of 20723

Prime Factorization of 20740

Now multiplying the highest exponent prime factors to calculate the LCM of 20723 and 20740.

LCM(20723,20740) = 17¹ × 23¹ × 53¹ × 2² × 5¹ × 61¹
LCM(20723,20740) = 25282060