What is the Least Common Multiple of 20725 and 20731?

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 20725 and 20731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20725 and 20731, than apply into the LCM equation.

GCF(20725,20731) = 1
LCM(20725,20731) = ( 20725 × 20731) / 1
LCM(20725,20731) = 429649975 / 1
LCM(20725,20731) = 429649975

Least Common Multiple (LCM) of 20725 and 20731 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20725 and 20731. First we will calculate the prime factors of 20725 and 20731.

Prime Factorization of 20725

Prime Factorization of 20731

Now multiplying the highest exponent prime factors to calculate the LCM of 20725 and 20731.

LCM(20725,20731) = 5² × 829¹ × 20731¹
LCM(20725,20731) = 429649975