What is the Least Common Multiple of 69153 and 69171?

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 69153 and 69171 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69153 and 69171, than apply into the LCM equation.

GCF(69153,69171) = 3
LCM(69153,69171) = ( 69153 × 69171) / 3
LCM(69153,69171) = 4783382163 / 3
LCM(69153,69171) = 1594460721

Least Common Multiple (LCM) of 69153 and 69171 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69153 and 69171. First we will calculate the prime factors of 69153 and 69171.

Prime Factorization of 69153

Prime Factorization of 69171

Now multiplying the highest exponent prime factors to calculate the LCM of 69153 and 69171.

LCM(69153,69171) = 3¹ × 7¹ × 37¹ × 89¹ × 23057¹
LCM(69153,69171) = 1594460721