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What is the Least Common Multiple of 91276 and 91291?

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 91276 and 91291 is 8332677316.

LCM(91276,91291) = 8332677316

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Least Common Multiple of 91276 and 91291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91276 and 91291, than apply into the LCM equation.

GCF(91276,91291) = 1
LCM(91276,91291) = ( 91276 × 91291) / 1
LCM(91276,91291) = 8332677316 / 1
LCM(91276,91291) = 8332677316

Least Common Multiple (LCM) of 91276 and 91291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91276 and 91291. First we will calculate the prime factors of 91276 and 91291.

Prime Factorization of 91276

Prime factors of 91276 are 2, 19, 1201. Prime factorization of 91276 in exponential form is:

91276 = 22 × 191 × 12011

Prime Factorization of 91291

Prime factors of 91291 are 91291. Prime factorization of 91291 in exponential form is:

91291 = 912911

Now multiplying the highest exponent prime factors to calculate the LCM of 91276 and 91291.

LCM(91276,91291) = 22 × 191 × 12011 × 912911
LCM(91276,91291) = 8332677316