What is the Least Common Multiple of 69448 and 69466?

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 69448 and 69466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69448 and 69466, than apply into the LCM equation.

GCF(69448,69466) = 2
LCM(69448,69466) = ( 69448 × 69466) / 2
LCM(69448,69466) = 4824274768 / 2
LCM(69448,69466) = 2412137384

Least Common Multiple (LCM) of 69448 and 69466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69448 and 69466. First we will calculate the prime factors of 69448 and 69466.

Prime Factorization of 69448

Prime Factorization of 69466

Now multiplying the highest exponent prime factors to calculate the LCM of 69448 and 69466.

LCM(69448,69466) = 2³ × 8681¹ × 47¹ × 739¹
LCM(69448,69466) = 2412137384