What is the Least Common Multiple of 20040 and 20052?

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 20040 and 20052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20040 and 20052, than apply into the LCM equation.

GCF(20040,20052) = 12
LCM(20040,20052) = ( 20040 × 20052) / 12
LCM(20040,20052) = 401842080 / 12
LCM(20040,20052) = 33486840

Least Common Multiple (LCM) of 20040 and 20052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20040 and 20052. First we will calculate the prime factors of 20040 and 20052.

Prime Factorization of 20040

Prime Factorization of 20052

Now multiplying the highest exponent prime factors to calculate the LCM of 20040 and 20052.

LCM(20040,20052) = 2³ × 3² × 5¹ × 167¹ × 557¹
LCM(20040,20052) = 33486840