What is the Least Common Multiple of 20040 and 20049?

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 20049 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 20049, than apply into the LCM equation.

GCF(20040,20049) = 3
LCM(20040,20049) = ( 20040 × 20049) / 3
LCM(20040,20049) = 401781960 / 3
LCM(20040,20049) = 133927320

Least Common Multiple (LCM) of 20040 and 20049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20040 and 20049. First we will calculate the prime factors of 20040 and 20049.

Prime Factorization of 20040

Prime Factorization of 20049

Now multiplying the highest exponent prime factors to calculate the LCM of 20040 and 20049.

LCM(20040,20049) = 2³ × 3¹ × 5¹ × 167¹ × 41¹ × 163¹
LCM(20040,20049) = 133927320