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What is the Least Common Multiple of 83432 and 83437?

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 83432 and 83437 is 6961315784.

LCM(83432,83437) = 6961315784

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Least Common Multiple of 83432 and 83437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83432 and 83437, than apply into the LCM equation.

GCF(83432,83437) = 1
LCM(83432,83437) = ( 83432 × 83437) / 1
LCM(83432,83437) = 6961315784 / 1
LCM(83432,83437) = 6961315784

Least Common Multiple (LCM) of 83432 and 83437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83432 and 83437. First we will calculate the prime factors of 83432 and 83437.

Prime Factorization of 83432

Prime factors of 83432 are 2, 10429. Prime factorization of 83432 in exponential form is:

83432 = 23 × 104291

Prime Factorization of 83437

Prime factors of 83437 are 83437. Prime factorization of 83437 in exponential form is:

83437 = 834371

Now multiplying the highest exponent prime factors to calculate the LCM of 83432 and 83437.

LCM(83432,83437) = 23 × 104291 × 834371
LCM(83432,83437) = 6961315784