What is the Least Common Multiple of 20040 and 20054?

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 20054 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 20054, than apply into the LCM equation.

GCF(20040,20054) = 2
LCM(20040,20054) = ( 20040 × 20054) / 2
LCM(20040,20054) = 401882160 / 2
LCM(20040,20054) = 200941080

Least Common Multiple (LCM) of 20040 and 20054 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20040 and 20054. First we will calculate the prime factors of 20040 and 20054.

Prime Factorization of 20040

Prime Factorization of 20054

Now multiplying the highest exponent prime factors to calculate the LCM of 20040 and 20054.

LCM(20040,20054) = 2³ × 3¹ × 5¹ × 167¹ × 37¹ × 271¹
LCM(20040,20054) = 200941080