What is the Least Common Multiple of 20052 and 20072?

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 20052 and 20072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20052 and 20072, than apply into the LCM equation.

GCF(20052,20072) = 4
LCM(20052,20072) = ( 20052 × 20072) / 4
LCM(20052,20072) = 402483744 / 4
LCM(20052,20072) = 100620936

Least Common Multiple (LCM) of 20052 and 20072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20052 and 20072. First we will calculate the prime factors of 20052 and 20072.

Prime Factorization of 20052

Prime Factorization of 20072

Now multiplying the highest exponent prime factors to calculate the LCM of 20052 and 20072.

LCM(20052,20072) = 2³ × 3² × 557¹ × 13¹ × 193¹
LCM(20052,20072) = 100620936