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What is the Least Common Multiple of 91533 and 91542?

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 91542 is 2793037962.

LCM(91533,91542) = 2793037962

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Least Common Multiple of 91533 and 91542 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 91542, than apply into the LCM equation.

GCF(91533,91542) = 3
LCM(91533,91542) = ( 91533 × 91542) / 3
LCM(91533,91542) = 8379113886 / 3
LCM(91533,91542) = 2793037962

Least Common Multiple (LCM) of 91533 and 91542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91533 and 91542. First we will calculate the prime factors of 91533 and 91542.

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 91542

Prime factors of 91542 are 2, 3, 11, 19, 73. Prime factorization of 91542 in exponential form is:

91542 = 21 × 31 × 111 × 191 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 91533 and 91542.

LCM(91533,91542) = 31 × 131 × 23471 × 21 × 111 × 191 × 731
LCM(91533,91542) = 2793037962