What is the Least Common Multiple of 7174 and 7189?

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 7174 and 7189 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7174 and 7189, than apply into the LCM equation.

GCF(7174,7189) = 1
LCM(7174,7189) = ( 7174 × 7189) / 1
LCM(7174,7189) = 51573886 / 1
LCM(7174,7189) = 51573886

Least Common Multiple (LCM) of 7174 and 7189 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7174 and 7189. First we will calculate the prime factors of 7174 and 7189.

Prime Factorization of 7174

Prime Factorization of 7189

Now multiplying the highest exponent prime factors to calculate the LCM of 7174 and 7189.

LCM(7174,7189) = 2¹ × 17¹ × 211¹ × 7¹ × 13¹ × 79¹
LCM(7174,7189) = 51573886