What is the Least Common Multiple of 69867 and 69883?

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 69867 and 69883 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69867 and 69883, than apply into the LCM equation.

GCF(69867,69883) = 1
LCM(69867,69883) = ( 69867 × 69883) / 1
LCM(69867,69883) = 4882515561 / 1
LCM(69867,69883) = 4882515561

Least Common Multiple (LCM) of 69867 and 69883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69867 and 69883. First we will calculate the prime factors of 69867 and 69883.

Prime Factorization of 69867

Prime Factorization of 69883

Now multiplying the highest exponent prime factors to calculate the LCM of 69867 and 69883.

LCM(69867,69883) = 3² × 7¹ × 1109¹ × 11¹ × 6353¹
LCM(69867,69883) = 4882515561