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What is the Least Common Multiple of 11438 and 11454?

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 11438 and 11454 is 65505426.

LCM(11438,11454) = 65505426

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Least Common Multiple of 11438 and 11454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11438 and 11454, than apply into the LCM equation.

GCF(11438,11454) = 2
LCM(11438,11454) = ( 11438 × 11454) / 2
LCM(11438,11454) = 131010852 / 2
LCM(11438,11454) = 65505426

Least Common Multiple (LCM) of 11438 and 11454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11438 and 11454. First we will calculate the prime factors of 11438 and 11454.

Prime Factorization of 11438

Prime factors of 11438 are 2, 7, 19, 43. Prime factorization of 11438 in exponential form is:

11438 = 21 × 71 × 191 × 431

Prime Factorization of 11454

Prime factors of 11454 are 2, 3, 23, 83. Prime factorization of 11454 in exponential form is:

11454 = 21 × 31 × 231 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 11438 and 11454.

LCM(11438,11454) = 21 × 71 × 191 × 431 × 31 × 231 × 831
LCM(11438,11454) = 65505426