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What is the Least Common Multiple of 35441 and 35454?

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 35441 and 35454 is 1256525214.

LCM(35441,35454) = 1256525214

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Least Common Multiple of 35441 and 35454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35441 and 35454, than apply into the LCM equation.

GCF(35441,35454) = 1
LCM(35441,35454) = ( 35441 × 35454) / 1
LCM(35441,35454) = 1256525214 / 1
LCM(35441,35454) = 1256525214

Least Common Multiple (LCM) of 35441 and 35454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35441 and 35454. First we will calculate the prime factors of 35441 and 35454.

Prime Factorization of 35441

Prime factors of 35441 are 7, 61, 83. Prime factorization of 35441 in exponential form is:

35441 = 71 × 611 × 831

Prime Factorization of 35454

Prime factors of 35454 are 2, 3, 19, 311. Prime factorization of 35454 in exponential form is:

35454 = 21 × 31 × 191 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 35441 and 35454.

LCM(35441,35454) = 71 × 611 × 831 × 21 × 31 × 191 × 3111
LCM(35441,35454) = 1256525214