What is the Least Common Multiple of 69909 and 69916?

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 69909 and 69916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69909 and 69916, than apply into the LCM equation.

GCF(69909,69916) = 7
LCM(69909,69916) = ( 69909 × 69916) / 7
LCM(69909,69916) = 4887757644 / 7
LCM(69909,69916) = 698251092

Least Common Multiple (LCM) of 69909 and 69916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69909 and 69916. First we will calculate the prime factors of 69909 and 69916.

Prime Factorization of 69909

Prime Factorization of 69916

Now multiplying the highest exponent prime factors to calculate the LCM of 69909 and 69916.

LCM(69909,69916) = 3¹ × 7¹ × 3329¹ × 2² × 11¹ × 227¹
LCM(69909,69916) = 698251092