What is the Least Common Multiple of 95174 and 95184?

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 95174 and 95184 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95174 and 95184, than apply into the LCM equation.

GCF(95174,95184) = 2
LCM(95174,95184) = ( 95174 × 95184) / 2
LCM(95174,95184) = 9059042016 / 2
LCM(95174,95184) = 4529521008

Least Common Multiple (LCM) of 95174 and 95184 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95174 and 95184. First we will calculate the prime factors of 95174 and 95184.

Prime Factorization of 95174

Prime Factorization of 95184

Now multiplying the highest exponent prime factors to calculate the LCM of 95174 and 95184.

LCM(95174,95184) = 2⁴ × 23¹ × 2069¹ × 3² × 661¹
LCM(95174,95184) = 4529521008