What is the Least Common Multiple of 10438 and 10450?

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 10450 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 10450, than apply into the LCM equation.

GCF(10438,10450) = 2
LCM(10438,10450) = ( 10438 × 10450) / 2
LCM(10438,10450) = 109077100 / 2
LCM(10438,10450) = 54538550

Least Common Multiple (LCM) of 10438 and 10450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10438 and 10450. First we will calculate the prime factors of 10438 and 10450.

Prime Factorization of 10438

Prime Factorization of 10450

Now multiplying the highest exponent prime factors to calculate the LCM of 10438 and 10450.

LCM(10438,10450) = 2¹ × 17¹ × 307¹ × 5² × 11¹ × 19¹
LCM(10438,10450) = 54538550