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What is the Least Common Multiple of 91427 and 91431?

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 91427 and 91431 is 8359262037.

LCM(91427,91431) = 8359262037

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Least Common Multiple of 91427 and 91431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91427 and 91431, than apply into the LCM equation.

GCF(91427,91431) = 1
LCM(91427,91431) = ( 91427 × 91431) / 1
LCM(91427,91431) = 8359262037 / 1
LCM(91427,91431) = 8359262037

Least Common Multiple (LCM) of 91427 and 91431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91427 and 91431. First we will calculate the prime factors of 91427 and 91431.

Prime Factorization of 91427

Prime factors of 91427 are 7, 37, 353. Prime factorization of 91427 in exponential form is:

91427 = 71 × 371 × 3531

Prime Factorization of 91431

Prime factors of 91431 are 3, 10159. Prime factorization of 91431 in exponential form is:

91431 = 32 × 101591

Now multiplying the highest exponent prime factors to calculate the LCM of 91427 and 91431.

LCM(91427,91431) = 71 × 371 × 3531 × 32 × 101591
LCM(91427,91431) = 8359262037