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What is the Least Common Multiple of 81234 and 81241?

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 81234 and 81241 is 6599531394.

LCM(81234,81241) = 6599531394

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Least Common Multiple of 81234 and 81241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81234 and 81241, than apply into the LCM equation.

GCF(81234,81241) = 1
LCM(81234,81241) = ( 81234 × 81241) / 1
LCM(81234,81241) = 6599531394 / 1
LCM(81234,81241) = 6599531394

Least Common Multiple (LCM) of 81234 and 81241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81234 and 81241. First we will calculate the prime factors of 81234 and 81241.

Prime Factorization of 81234

Prime factors of 81234 are 2, 3, 4513. Prime factorization of 81234 in exponential form is:

81234 = 21 × 32 × 45131

Prime Factorization of 81241

Prime factors of 81241 are 137, 593. Prime factorization of 81241 in exponential form is:

81241 = 1371 × 5931

Now multiplying the highest exponent prime factors to calculate the LCM of 81234 and 81241.

LCM(81234,81241) = 21 × 32 × 45131 × 1371 × 5931
LCM(81234,81241) = 6599531394