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What is the Least Common Multiple of 91229 and 91245?

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 91229 and 91245 is 8324190105.

LCM(91229,91245) = 8324190105

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Least Common Multiple of 91229 and 91245 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91229 and 91245, than apply into the LCM equation.

GCF(91229,91245) = 1
LCM(91229,91245) = ( 91229 × 91245) / 1
LCM(91229,91245) = 8324190105 / 1
LCM(91229,91245) = 8324190105

Least Common Multiple (LCM) of 91229 and 91245 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91229 and 91245. First we will calculate the prime factors of 91229 and 91245.

Prime Factorization of 91229

Prime factors of 91229 are 91229. Prime factorization of 91229 in exponential form is:

91229 = 912291

Prime Factorization of 91245

Prime factors of 91245 are 3, 5, 7, 11, 79. Prime factorization of 91245 in exponential form is:

91245 = 31 × 51 × 71 × 111 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 91229 and 91245.

LCM(91229,91245) = 912291 × 31 × 51 × 71 × 111 × 791
LCM(91229,91245) = 8324190105