What is the Least Common Multiple of 20174 and 20188?

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 20188 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 20188, than apply into the LCM equation.

GCF(20174,20188) = 14
LCM(20174,20188) = ( 20174 × 20188) / 14
LCM(20174,20188) = 407272712 / 14
LCM(20174,20188) = 29090908

Least Common Multiple (LCM) of 20174 and 20188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20174 and 20188. First we will calculate the prime factors of 20174 and 20188.

Prime Factorization of 20174

Prime Factorization of 20188

Now multiplying the highest exponent prime factors to calculate the LCM of 20174 and 20188.

LCM(20174,20188) = 2² × 7² × 11¹ × 131¹ × 103¹
LCM(20174,20188) = 29090908