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What is the Least Common Multiple of 91743 and 91763?

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 91743 and 91763 is 8418612909.

LCM(91743,91763) = 8418612909

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Least Common Multiple of 91743 and 91763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91743 and 91763, than apply into the LCM equation.

GCF(91743,91763) = 1
LCM(91743,91763) = ( 91743 × 91763) / 1
LCM(91743,91763) = 8418612909 / 1
LCM(91743,91763) = 8418612909

Least Common Multiple (LCM) of 91743 and 91763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91743 and 91763. First we will calculate the prime factors of 91743 and 91763.

Prime Factorization of 91743

Prime factors of 91743 are 3, 53, 577. Prime factorization of 91743 in exponential form is:

91743 = 31 × 531 × 5771

Prime Factorization of 91763

Prime factors of 91763 are 7, 13109. Prime factorization of 91763 in exponential form is:

91763 = 71 × 131091

Now multiplying the highest exponent prime factors to calculate the LCM of 91743 and 91763.

LCM(91743,91763) = 31 × 531 × 5771 × 71 × 131091
LCM(91743,91763) = 8418612909