What is the Least Common Multiple of 20174 and 20181?

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 20174 and 20181 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20174 and 20181, than apply into the LCM equation.

GCF(20174,20181) = 7
LCM(20174,20181) = ( 20174 × 20181) / 7
LCM(20174,20181) = 407131494 / 7
LCM(20174,20181) = 58161642

Least Common Multiple (LCM) of 20174 and 20181 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20174 and 20181. First we will calculate the prime factors of 20174 and 20181.

Prime Factorization of 20174

Prime Factorization of 20181

Now multiplying the highest exponent prime factors to calculate the LCM of 20174 and 20181.

LCM(20174,20181) = 2¹ × 7¹ × 11¹ × 131¹ × 3¹ × 31²
LCM(20174,20181) = 58161642