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What is the Least Common Multiple of 91254 and 91268?

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 91254 and 91268 is 4164285036.

LCM(91254,91268) = 4164285036

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Least Common Multiple of 91254 and 91268 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91254 and 91268, than apply into the LCM equation.

GCF(91254,91268) = 2
LCM(91254,91268) = ( 91254 × 91268) / 2
LCM(91254,91268) = 8328570072 / 2
LCM(91254,91268) = 4164285036

Least Common Multiple (LCM) of 91254 and 91268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91254 and 91268. First we will calculate the prime factors of 91254 and 91268.

Prime Factorization of 91254

Prime factors of 91254 are 2, 3, 67, 227. Prime factorization of 91254 in exponential form is:

91254 = 21 × 31 × 671 × 2271

Prime Factorization of 91268

Prime factors of 91268 are 2, 22817. Prime factorization of 91268 in exponential form is:

91268 = 22 × 228171

Now multiplying the highest exponent prime factors to calculate the LCM of 91254 and 91268.

LCM(91254,91268) = 22 × 31 × 671 × 2271 × 228171
LCM(91254,91268) = 4164285036