What is the Least Common Multiple of 54438 and 54448?

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 54438 and 54448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54438 and 54448, than apply into the LCM equation.

GCF(54438,54448) = 2
LCM(54438,54448) = ( 54438 × 54448) / 2
LCM(54438,54448) = 2964040224 / 2
LCM(54438,54448) = 1482020112

Least Common Multiple (LCM) of 54438 and 54448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54438 and 54448. First we will calculate the prime factors of 54438 and 54448.

Prime Factorization of 54438

Prime Factorization of 54448

Now multiplying the highest exponent prime factors to calculate the LCM of 54438 and 54448.

LCM(54438,54448) = 2⁴ × 3¹ × 43¹ × 211¹ × 41¹ × 83¹
LCM(54438,54448) = 1482020112