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What is the Least Common Multiple of 5438 and 5450?

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 (LCM) of 5438 and 5450 is 14818550.

LCM(5438,5450) = 14818550

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Least Common Multiple of 5438 and 5450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5438 and 5450, than apply into the LCM equation.

GCF(5438,5450) = 2
LCM(5438,5450) = ( 5438 × 5450) / 2
LCM(5438,5450) = 29637100 / 2
LCM(5438,5450) = 14818550

Least Common Multiple (LCM) of 5438 and 5450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5438 and 5450. First we will calculate the prime factors of 5438 and 5450.

Prime Factorization of 5438

Prime factors of 5438 are 2, 2719. Prime factorization of 5438 in exponential form is:

5438 = 21 × 27191

Prime Factorization of 5450

Prime factors of 5450 are 2, 5, 109. Prime factorization of 5450 in exponential form is:

5450 = 21 × 52 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 5438 and 5450.

LCM(5438,5450) = 21 × 27191 × 52 × 1091
LCM(5438,5450) = 14818550