What is the Least Common Multiple of 20072 and 20090?

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 20072 and 20090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20072 and 20090, than apply into the LCM equation.

GCF(20072,20090) = 2
LCM(20072,20090) = ( 20072 × 20090) / 2
LCM(20072,20090) = 403246480 / 2
LCM(20072,20090) = 201623240

Least Common Multiple (LCM) of 20072 and 20090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20072 and 20090. First we will calculate the prime factors of 20072 and 20090.

Prime Factorization of 20072

Prime Factorization of 20090

Now multiplying the highest exponent prime factors to calculate the LCM of 20072 and 20090.

LCM(20072,20090) = 2³ × 13¹ × 193¹ × 5¹ × 7² × 41¹
LCM(20072,20090) = 201623240