What is the Least Common Multiple of 20140 and 20152?

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 20140 and 20152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20140 and 20152, than apply into the LCM equation.

GCF(20140,20152) = 4
LCM(20140,20152) = ( 20140 × 20152) / 4
LCM(20140,20152) = 405861280 / 4
LCM(20140,20152) = 101465320

Least Common Multiple (LCM) of 20140 and 20152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20140 and 20152. First we will calculate the prime factors of 20140 and 20152.

Prime Factorization of 20140

Prime Factorization of 20152

Now multiplying the highest exponent prime factors to calculate the LCM of 20140 and 20152.

LCM(20140,20152) = 2³ × 5¹ × 19¹ × 53¹ × 11¹ × 229¹
LCM(20140,20152) = 101465320