What is the Least Common Multiple of 20172 and 20178?

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 20172 and 20178 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20172 and 20178, than apply into the LCM equation.

GCF(20172,20178) = 6
LCM(20172,20178) = ( 20172 × 20178) / 6
LCM(20172,20178) = 407030616 / 6
LCM(20172,20178) = 67838436

Least Common Multiple (LCM) of 20172 and 20178 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20172 and 20178. First we will calculate the prime factors of 20172 and 20178.

Prime Factorization of 20172

Prime Factorization of 20178

Now multiplying the highest exponent prime factors to calculate the LCM of 20172 and 20178.

LCM(20172,20178) = 2² × 3² × 41² × 19¹ × 59¹
LCM(20172,20178) = 67838436