What is the Least Common Multiple of 69279 and 69291?

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 69279 and 69291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69279 and 69291, than apply into the LCM equation.

GCF(69279,69291) = 3
LCM(69279,69291) = ( 69279 × 69291) / 3
LCM(69279,69291) = 4800411189 / 3
LCM(69279,69291) = 1600137063

Least Common Multiple (LCM) of 69279 and 69291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69279 and 69291. First we will calculate the prime factors of 69279 and 69291.

Prime Factorization of 69279

Prime Factorization of 69291

Now multiplying the highest exponent prime factors to calculate the LCM of 69279 and 69291.

LCM(69279,69291) = 3² × 7¹ × 3299¹ × 7699¹
LCM(69279,69291) = 1600137063