What is the Least Common Multiple of 20029 and 20040?

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 20029 and 20040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20029 and 20040, than apply into the LCM equation.

GCF(20029,20040) = 1
LCM(20029,20040) = ( 20029 × 20040) / 1
LCM(20029,20040) = 401381160 / 1
LCM(20029,20040) = 401381160

Least Common Multiple (LCM) of 20029 and 20040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20029 and 20040. First we will calculate the prime factors of 20029 and 20040.

Prime Factorization of 20029

Prime Factorization of 20040

Now multiplying the highest exponent prime factors to calculate the LCM of 20029 and 20040.

LCM(20029,20040) = 20029¹ × 2³ × 3¹ × 5¹ × 167¹
LCM(20029,20040) = 401381160