What is the Least Common Multiple of 69428 and 69448?

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 69428 and 69448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69428 and 69448, than apply into the LCM equation.

GCF(69428,69448) = 4
LCM(69428,69448) = ( 69428 × 69448) / 4
LCM(69428,69448) = 4821635744 / 4
LCM(69428,69448) = 1205408936

Least Common Multiple (LCM) of 69428 and 69448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69428 and 69448. First we will calculate the prime factors of 69428 and 69448.

Prime Factorization of 69428

Prime Factorization of 69448

Now multiplying the highest exponent prime factors to calculate the LCM of 69428 and 69448.

LCM(69428,69448) = 2³ × 17¹ × 1021¹ × 8681¹
LCM(69428,69448) = 1205408936