What is the Least Common Multiple of 20045 and 20060?

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 20045 and 20060 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20045 and 20060, than apply into the LCM equation.

GCF(20045,20060) = 5
LCM(20045,20060) = ( 20045 × 20060) / 5
LCM(20045,20060) = 402102700 / 5
LCM(20045,20060) = 80420540

Least Common Multiple (LCM) of 20045 and 20060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20045 and 20060. First we will calculate the prime factors of 20045 and 20060.

Prime Factorization of 20045

Prime Factorization of 20060

Now multiplying the highest exponent prime factors to calculate the LCM of 20045 and 20060.

LCM(20045,20060) = 5¹ × 19¹ × 211¹ × 2² × 17¹ × 59¹
LCM(20045,20060) = 80420540