What is the Least Common Multiple of 69147 and 69167?

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 69147 and 69167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69147 and 69167, than apply into the LCM equation.

GCF(69147,69167) = 1
LCM(69147,69167) = ( 69147 × 69167) / 1
LCM(69147,69167) = 4782690549 / 1
LCM(69147,69167) = 4782690549

Least Common Multiple (LCM) of 69147 and 69167 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69147 and 69167. First we will calculate the prime factors of 69147 and 69167.

Prime Factorization of 69147

Prime Factorization of 69167

Now multiplying the highest exponent prime factors to calculate the LCM of 69147 and 69167.

LCM(69147,69167) = 3³ × 13¹ × 197¹ × 7¹ × 41¹ × 241¹
LCM(69147,69167) = 4782690549