What is the Least Common Multiple of 69160 and 69174?

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 69160 and 69174 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69160 and 69174, than apply into the LCM equation.

GCF(69160,69174) = 14
LCM(69160,69174) = ( 69160 × 69174) / 14
LCM(69160,69174) = 4784073840 / 14
LCM(69160,69174) = 341719560

Least Common Multiple (LCM) of 69160 and 69174 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69160 and 69174. First we will calculate the prime factors of 69160 and 69174.

Prime Factorization of 69160

Prime Factorization of 69174

Now multiplying the highest exponent prime factors to calculate the LCM of 69160 and 69174.

LCM(69160,69174) = 2³ × 5¹ × 7¹ × 13¹ × 19¹ × 3⁴ × 61¹
LCM(69160,69174) = 341719560