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What is the Least Common Multiple of 91829 and 91845?

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 91829 and 91845 is 8434034505.

LCM(91829,91845) = 8434034505

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Least Common Multiple of 91829 and 91845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91829 and 91845, than apply into the LCM equation.

GCF(91829,91845) = 1
LCM(91829,91845) = ( 91829 × 91845) / 1
LCM(91829,91845) = 8434034505 / 1
LCM(91829,91845) = 8434034505

Least Common Multiple (LCM) of 91829 and 91845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91829 and 91845. First we will calculate the prime factors of 91829 and 91845.

Prime Factorization of 91829

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

91829 = 2291 × 4011

Prime Factorization of 91845

Prime factors of 91845 are 3, 5, 13, 157. Prime factorization of 91845 in exponential form is:

91845 = 32 × 51 × 131 × 1571

Now multiplying the highest exponent prime factors to calculate the LCM of 91829 and 91845.

LCM(91829,91845) = 2291 × 4011 × 32 × 51 × 131 × 1571
LCM(91829,91845) = 8434034505