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What is the Least Common Multiple of 91276 and 91288?

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 91288 is 2083100872.

LCM(91276,91288) = 2083100872

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Least Common Multiple of 91276 and 91288 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 91288, than apply into the LCM equation.

GCF(91276,91288) = 4
LCM(91276,91288) = ( 91276 × 91288) / 4
LCM(91276,91288) = 8332403488 / 4
LCM(91276,91288) = 2083100872

Least Common Multiple (LCM) of 91276 and 91288 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91276 and 91288. First we will calculate the prime factors of 91276 and 91288.

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 91288

Prime factors of 91288 are 2, 11411. Prime factorization of 91288 in exponential form is:

91288 = 23 × 114111

Now multiplying the highest exponent prime factors to calculate the LCM of 91276 and 91288.

LCM(91276,91288) = 23 × 191 × 12011 × 114111
LCM(91276,91288) = 2083100872