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What is the Least Common Multiple of 83473 and 83483?

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 83473 and 83483 is 6968576459.

LCM(83473,83483) = 6968576459

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Least Common Multiple of 83473 and 83483 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83473 and 83483, than apply into the LCM equation.

GCF(83473,83483) = 1
LCM(83473,83483) = ( 83473 × 83483) / 1
LCM(83473,83483) = 6968576459 / 1
LCM(83473,83483) = 6968576459

Least Common Multiple (LCM) of 83473 and 83483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83473 and 83483. First we will calculate the prime factors of 83473 and 83483.

Prime Factorization of 83473

Prime factors of 83473 are 13, 6421. Prime factorization of 83473 in exponential form is:

83473 = 131 × 64211

Prime Factorization of 83483

Prime factors of 83483 are 31, 2693. Prime factorization of 83483 in exponential form is:

83483 = 311 × 26931

Now multiplying the highest exponent prime factors to calculate the LCM of 83473 and 83483.

LCM(83473,83483) = 131 × 64211 × 311 × 26931
LCM(83473,83483) = 6968576459