What is the Least Common Multiple of 69608 and 69626?

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 69626 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 69626, than apply into the LCM equation.

GCF(69608,69626) = 2
LCM(69608,69626) = ( 69608 × 69626) / 2
LCM(69608,69626) = 4846526608 / 2
LCM(69608,69626) = 2423263304

Least Common Multiple (LCM) of 69608 and 69626 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69608 and 69626. First we will calculate the prime factors of 69608 and 69626.

Prime Factorization of 69608

Prime Factorization of 69626

Now multiplying the highest exponent prime factors to calculate the LCM of 69608 and 69626.

LCM(69608,69626) = 2³ × 7¹ × 11¹ × 113¹ × 31¹ × 1123¹
LCM(69608,69626) = 2423263304