What is the Least Common Multiple of 20054 and 20068?

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 20054 and 20068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20054 and 20068, than apply into the LCM equation.

GCF(20054,20068) = 2
LCM(20054,20068) = ( 20054 × 20068) / 2
LCM(20054,20068) = 402443672 / 2
LCM(20054,20068) = 201221836

Least Common Multiple (LCM) of 20054 and 20068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20054 and 20068. First we will calculate the prime factors of 20054 and 20068.

Prime Factorization of 20054

Prime Factorization of 20068

Now multiplying the highest exponent prime factors to calculate the LCM of 20054 and 20068.

LCM(20054,20068) = 2² × 37¹ × 271¹ × 29¹ × 173¹
LCM(20054,20068) = 201221836