What is the Least Common Multiple of 69892 and 69902?

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 69892 and 69902 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69892 and 69902, than apply into the LCM equation.

GCF(69892,69902) = 2
LCM(69892,69902) = ( 69892 × 69902) / 2
LCM(69892,69902) = 4885590584 / 2
LCM(69892,69902) = 2442795292

Least Common Multiple (LCM) of 69892 and 69902 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69892 and 69902. First we will calculate the prime factors of 69892 and 69902.

Prime Factorization of 69892

Prime Factorization of 69902

Now multiplying the highest exponent prime factors to calculate the LCM of 69892 and 69902.

LCM(69892,69902) = 2² × 101¹ × 173¹ × 7¹ × 4993¹
LCM(69892,69902) = 2442795292