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What is the Least Common Multiple of 83833 and 83846?

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 83833 and 83846 is 7029061718.

LCM(83833,83846) = 7029061718

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Least Common Multiple of 83833 and 83846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83833 and 83846, than apply into the LCM equation.

GCF(83833,83846) = 1
LCM(83833,83846) = ( 83833 × 83846) / 1
LCM(83833,83846) = 7029061718 / 1
LCM(83833,83846) = 7029061718

Least Common Multiple (LCM) of 83833 and 83846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83833 and 83846. First we will calculate the prime factors of 83833 and 83846.

Prime Factorization of 83833

Prime factors of 83833 are 83833. Prime factorization of 83833 in exponential form is:

83833 = 838331

Prime Factorization of 83846

Prime factors of 83846 are 2, 7, 53, 113. Prime factorization of 83846 in exponential form is:

83846 = 21 × 71 × 531 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 83833 and 83846.

LCM(83833,83846) = 838331 × 21 × 71 × 531 × 1131
LCM(83833,83846) = 7029061718