What is the Least Common Multiple of 95160 and 95174?

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 95160 and 95174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95160 and 95174, than apply into the LCM equation.

GCF(95160,95174) = 2
LCM(95160,95174) = ( 95160 × 95174) / 2
LCM(95160,95174) = 9056757840 / 2
LCM(95160,95174) = 4528378920

Least Common Multiple (LCM) of 95160 and 95174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95160 and 95174. First we will calculate the prime factors of 95160 and 95174.

Prime Factorization of 95160

Prime Factorization of 95174

Now multiplying the highest exponent prime factors to calculate the LCM of 95160 and 95174.

LCM(95160,95174) = 2³ × 3¹ × 5¹ × 13¹ × 61¹ × 23¹ × 2069¹
LCM(95160,95174) = 4528378920