What is the Least Common Multiple of 20075 and 20080?

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 20075 and 20080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20075 and 20080, than apply into the LCM equation.

GCF(20075,20080) = 5
LCM(20075,20080) = ( 20075 × 20080) / 5
LCM(20075,20080) = 403106000 / 5
LCM(20075,20080) = 80621200

Least Common Multiple (LCM) of 20075 and 20080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20075 and 20080. First we will calculate the prime factors of 20075 and 20080.

Prime Factorization of 20075

Prime Factorization of 20080

Now multiplying the highest exponent prime factors to calculate the LCM of 20075 and 20080.

LCM(20075,20080) = 5² × 11¹ × 73¹ × 2⁴ × 251¹
LCM(20075,20080) = 80621200