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What is the Least Common Multiple of 91258 and 91262?

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 91258 and 91262 is 4164193798.

LCM(91258,91262) = 4164193798

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Least Common Multiple of 91258 and 91262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91258 and 91262, than apply into the LCM equation.

GCF(91258,91262) = 2
LCM(91258,91262) = ( 91258 × 91262) / 2
LCM(91258,91262) = 8328387596 / 2
LCM(91258,91262) = 4164193798

Least Common Multiple (LCM) of 91258 and 91262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91258 and 91262. First we will calculate the prime factors of 91258 and 91262.

Prime Factorization of 91258

Prime factors of 91258 are 2, 103, 443. Prime factorization of 91258 in exponential form is:

91258 = 21 × 1031 × 4431

Prime Factorization of 91262

Prime factors of 91262 are 2, 45631. Prime factorization of 91262 in exponential form is:

91262 = 21 × 456311

Now multiplying the highest exponent prime factors to calculate the LCM of 91258 and 91262.

LCM(91258,91262) = 21 × 1031 × 4431 × 456311
LCM(91258,91262) = 4164193798