What is the Least Common Multiple of 69279 and 69285?

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 69285 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 69285, than apply into the LCM equation.

GCF(69279,69285) = 3
LCM(69279,69285) = ( 69279 × 69285) / 3
LCM(69279,69285) = 4799995515 / 3
LCM(69279,69285) = 1599998505

Least Common Multiple (LCM) of 69279 and 69285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69279 and 69285. First we will calculate the prime factors of 69279 and 69285.

Prime Factorization of 69279

Prime Factorization of 69285

Now multiplying the highest exponent prime factors to calculate the LCM of 69279 and 69285.

LCM(69279,69285) = 3¹ × 7¹ × 3299¹ × 5¹ × 31¹ × 149¹
LCM(69279,69285) = 1599998505