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What is the Least Common Multiple of 91303 and 91320?

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 91303 and 91320 is 8337789960.

LCM(91303,91320) = 8337789960

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Least Common Multiple of 91303 and 91320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91303 and 91320, than apply into the LCM equation.

GCF(91303,91320) = 1
LCM(91303,91320) = ( 91303 × 91320) / 1
LCM(91303,91320) = 8337789960 / 1
LCM(91303,91320) = 8337789960

Least Common Multiple (LCM) of 91303 and 91320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91303 and 91320. First we will calculate the prime factors of 91303 and 91320.

Prime Factorization of 91303

Prime factors of 91303 are 91303. Prime factorization of 91303 in exponential form is:

91303 = 913031

Prime Factorization of 91320

Prime factors of 91320 are 2, 3, 5, 761. Prime factorization of 91320 in exponential form is:

91320 = 23 × 31 × 51 × 7611

Now multiplying the highest exponent prime factors to calculate the LCM of 91303 and 91320.

LCM(91303,91320) = 913031 × 23 × 31 × 51 × 7611
LCM(91303,91320) = 8337789960