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What is the Least Common Multiple of 91310 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 91310 and 91320 is 833842920.

LCM(91310,91320) = 833842920

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Least Common Multiple of 91310 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 91310 and 91320, than apply into the LCM equation.

GCF(91310,91320) = 10
LCM(91310,91320) = ( 91310 × 91320) / 10
LCM(91310,91320) = 8338429200 / 10
LCM(91310,91320) = 833842920

Least Common Multiple (LCM) of 91310 and 91320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91310 and 91320. First we will calculate the prime factors of 91310 and 91320.

Prime Factorization of 91310

Prime factors of 91310 are 2, 5, 23, 397. Prime factorization of 91310 in exponential form is:

91310 = 21 × 51 × 231 × 3971

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 91310 and 91320.

LCM(91310,91320) = 23 × 51 × 231 × 3971 × 31 × 7611
LCM(91310,91320) = 833842920