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What is the Least Common Multiple of 11438 and 11458?

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 11458 is 65528302.

LCM(11438,11458) = 65528302

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Least Common Multiple of 11438 and 11458 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 11458, than apply into the LCM equation.

GCF(11438,11458) = 2
LCM(11438,11458) = ( 11438 × 11458) / 2
LCM(11438,11458) = 131056604 / 2
LCM(11438,11458) = 65528302

Least Common Multiple (LCM) of 11438 and 11458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11438 and 11458. First we will calculate the prime factors of 11438 and 11458.

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 11458

Prime factors of 11458 are 2, 17, 337. Prime factorization of 11458 in exponential form is:

11458 = 21 × 171 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 11438 and 11458.

LCM(11438,11458) = 21 × 71 × 191 × 431 × 171 × 3371
LCM(11438,11458) = 65528302