What is the Least Common Multiple of 69608 and 69616?

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 69608 and 69616 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69608 and 69616, than apply into the LCM equation.

GCF(69608,69616) = 8
LCM(69608,69616) = ( 69608 × 69616) / 8
LCM(69608,69616) = 4845830528 / 8
LCM(69608,69616) = 605728816

Least Common Multiple (LCM) of 69608 and 69616 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69608 and 69616. First we will calculate the prime factors of 69608 and 69616.

Prime Factorization of 69608

Prime Factorization of 69616

Now multiplying the highest exponent prime factors to calculate the LCM of 69608 and 69616.

LCM(69608,69616) = 2⁴ × 7¹ × 11¹ × 113¹ × 19¹ × 229¹
LCM(69608,69616) = 605728816