What is the Least Common Multiple of 10438 and 10448?

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 10438 and 10448 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10438 and 10448, than apply into the LCM equation.

GCF(10438,10448) = 2
LCM(10438,10448) = ( 10438 × 10448) / 2
LCM(10438,10448) = 109056224 / 2
LCM(10438,10448) = 54528112

Least Common Multiple (LCM) of 10438 and 10448 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10438 and 10448. First we will calculate the prime factors of 10438 and 10448.

Prime Factorization of 10438

Prime Factorization of 10448

Now multiplying the highest exponent prime factors to calculate the LCM of 10438 and 10448.

LCM(10438,10448) = 2⁴ × 17¹ × 307¹ × 653¹
LCM(10438,10448) = 54528112