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What is the Least Common Multiple of 91257 and 91269?

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 91257 and 91269 is 2776311711.

LCM(91257,91269) = 2776311711

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Least Common Multiple of 91257 and 91269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91257 and 91269, than apply into the LCM equation.

GCF(91257,91269) = 3
LCM(91257,91269) = ( 91257 × 91269) / 3
LCM(91257,91269) = 8328935133 / 3
LCM(91257,91269) = 2776311711

Least Common Multiple (LCM) of 91257 and 91269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91257 and 91269. First we will calculate the prime factors of 91257 and 91269.

Prime Factorization of 91257

Prime factors of 91257 are 3, 19, 1601. Prime factorization of 91257 in exponential form is:

91257 = 31 × 191 × 16011

Prime Factorization of 91269

Prime factors of 91269 are 3, 10141. Prime factorization of 91269 in exponential form is:

91269 = 32 × 101411

Now multiplying the highest exponent prime factors to calculate the LCM of 91257 and 91269.

LCM(91257,91269) = 32 × 191 × 16011 × 101411
LCM(91257,91269) = 2776311711