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What is the Least Common Multiple of 91546 and 91563?

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 91546 and 91563 is 8382226398.

LCM(91546,91563) = 8382226398

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Least Common Multiple of 91546 and 91563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91546 and 91563, than apply into the LCM equation.

GCF(91546,91563) = 1
LCM(91546,91563) = ( 91546 × 91563) / 1
LCM(91546,91563) = 8382226398 / 1
LCM(91546,91563) = 8382226398

Least Common Multiple (LCM) of 91546 and 91563 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91546 and 91563. First we will calculate the prime factors of 91546 and 91563.

Prime Factorization of 91546

Prime factors of 91546 are 2, 7, 13, 503. Prime factorization of 91546 in exponential form is:

91546 = 21 × 71 × 131 × 5031

Prime Factorization of 91563

Prime factors of 91563 are 3, 23, 1327. Prime factorization of 91563 in exponential form is:

91563 = 31 × 231 × 13271

Now multiplying the highest exponent prime factors to calculate the LCM of 91546 and 91563.

LCM(91546,91563) = 21 × 71 × 131 × 5031 × 31 × 231 × 13271
LCM(91546,91563) = 8382226398