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What is the Least Common Multiple of 91533 and 91553?

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 91533 and 91553 is 8380120749.

LCM(91533,91553) = 8380120749

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Least Common Multiple of 91533 and 91553 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91533 and 91553, than apply into the LCM equation.

GCF(91533,91553) = 1
LCM(91533,91553) = ( 91533 × 91553) / 1
LCM(91533,91553) = 8380120749 / 1
LCM(91533,91553) = 8380120749

Least Common Multiple (LCM) of 91533 and 91553 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91533 and 91553. First we will calculate the prime factors of 91533 and 91553.

Prime Factorization of 91533

Prime factors of 91533 are 3, 13, 2347. Prime factorization of 91533 in exponential form is:

91533 = 31 × 131 × 23471

Prime Factorization of 91553

Prime factors of 91553 are 7, 11, 29, 41. Prime factorization of 91553 in exponential form is:

91553 = 71 × 111 × 291 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 91533 and 91553.

LCM(91533,91553) = 31 × 131 × 23471 × 71 × 111 × 291 × 411
LCM(91533,91553) = 8380120749