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What is the Least Common Multiple of 91812 and 91829?

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 91812 and 91829 is 8431004148.

LCM(91812,91829) = 8431004148

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Least Common Multiple of 91812 and 91829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91812 and 91829, than apply into the LCM equation.

GCF(91812,91829) = 1
LCM(91812,91829) = ( 91812 × 91829) / 1
LCM(91812,91829) = 8431004148 / 1
LCM(91812,91829) = 8431004148

Least Common Multiple (LCM) of 91812 and 91829 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91812 and 91829. First we will calculate the prime factors of 91812 and 91829.

Prime Factorization of 91812

Prime factors of 91812 are 2, 3, 7, 1093. Prime factorization of 91812 in exponential form is:

91812 = 22 × 31 × 71 × 10931

Prime Factorization of 91829

Prime factors of 91829 are 229, 401. Prime factorization of 91829 in exponential form is:

91829 = 2291 × 4011

Now multiplying the highest exponent prime factors to calculate the LCM of 91812 and 91829.

LCM(91812,91829) = 22 × 31 × 71 × 10931 × 2291 × 4011
LCM(91812,91829) = 8431004148