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What is the Least Common Multiple of 91596 and 91605?

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 91596 and 91605 is 2796883860.

LCM(91596,91605) = 2796883860

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Least Common Multiple of 91596 and 91605 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91596 and 91605, than apply into the LCM equation.

GCF(91596,91605) = 3
LCM(91596,91605) = ( 91596 × 91605) / 3
LCM(91596,91605) = 8390651580 / 3
LCM(91596,91605) = 2796883860

Least Common Multiple (LCM) of 91596 and 91605 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91596 and 91605. First we will calculate the prime factors of 91596 and 91605.

Prime Factorization of 91596

Prime factors of 91596 are 2, 3, 17, 449. Prime factorization of 91596 in exponential form is:

91596 = 22 × 31 × 171 × 4491

Prime Factorization of 91605

Prime factors of 91605 are 3, 5, 31, 197. Prime factorization of 91605 in exponential form is:

91605 = 31 × 51 × 311 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 91596 and 91605.

LCM(91596,91605) = 22 × 31 × 171 × 4491 × 51 × 311 × 1971
LCM(91596,91605) = 2796883860