What is the Least Common Multiple of 20720 and 20725?

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 20720 and 20725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20720 and 20725, than apply into the LCM equation.

GCF(20720,20725) = 5
LCM(20720,20725) = ( 20720 × 20725) / 5
LCM(20720,20725) = 429422000 / 5
LCM(20720,20725) = 85884400

Least Common Multiple (LCM) of 20720 and 20725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20720 and 20725. First we will calculate the prime factors of 20720 and 20725.

Prime Factorization of 20720

Prime Factorization of 20725

Now multiplying the highest exponent prime factors to calculate the LCM of 20720 and 20725.

LCM(20720,20725) = 2⁴ × 5² × 7¹ × 37¹ × 829¹
LCM(20720,20725) = 85884400