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What is the Least Common Multiple of 91483 and 91492?

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 91483 and 91492 is 8369962636.

LCM(91483,91492) = 8369962636

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Least Common Multiple of 91483 and 91492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91483 and 91492, than apply into the LCM equation.

GCF(91483,91492) = 1
LCM(91483,91492) = ( 91483 × 91492) / 1
LCM(91483,91492) = 8369962636 / 1
LCM(91483,91492) = 8369962636

Least Common Multiple (LCM) of 91483 and 91492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91483 and 91492. First we will calculate the prime factors of 91483 and 91492.

Prime Factorization of 91483

Prime factors of 91483 are 7, 1867. Prime factorization of 91483 in exponential form is:

91483 = 72 × 18671

Prime Factorization of 91492

Prime factors of 91492 are 2, 89, 257. Prime factorization of 91492 in exponential form is:

91492 = 22 × 891 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 91483 and 91492.

LCM(91483,91492) = 72 × 18671 × 22 × 891 × 2571
LCM(91483,91492) = 8369962636