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What is the Least Common Multiple of 83656 and 83663?

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 83656 and 83663 is 6998911928.

LCM(83656,83663) = 6998911928

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Least Common Multiple of 83656 and 83663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83656 and 83663, than apply into the LCM equation.

GCF(83656,83663) = 1
LCM(83656,83663) = ( 83656 × 83663) / 1
LCM(83656,83663) = 6998911928 / 1
LCM(83656,83663) = 6998911928

Least Common Multiple (LCM) of 83656 and 83663 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83656 and 83663. First we will calculate the prime factors of 83656 and 83663.

Prime Factorization of 83656

Prime factors of 83656 are 2, 10457. Prime factorization of 83656 in exponential form is:

83656 = 23 × 104571

Prime Factorization of 83663

Prime factors of 83663 are 83663. Prime factorization of 83663 in exponential form is:

83663 = 836631

Now multiplying the highest exponent prime factors to calculate the LCM of 83656 and 83663.

LCM(83656,83663) = 23 × 104571 × 836631
LCM(83656,83663) = 6998911928