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What is the Least Common Multiple of 91272 and 91292?

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 91272 and 91292 is 2083100856.

LCM(91272,91292) = 2083100856

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Least Common Multiple of 91272 and 91292 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91272 and 91292, than apply into the LCM equation.

GCF(91272,91292) = 4
LCM(91272,91292) = ( 91272 × 91292) / 4
LCM(91272,91292) = 8332403424 / 4
LCM(91272,91292) = 2083100856

Least Common Multiple (LCM) of 91272 and 91292 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91272 and 91292. First we will calculate the prime factors of 91272 and 91292.

Prime Factorization of 91272

Prime factors of 91272 are 2, 3, 3803. Prime factorization of 91272 in exponential form is:

91272 = 23 × 31 × 38031

Prime Factorization of 91292

Prime factors of 91292 are 2, 29, 787. Prime factorization of 91292 in exponential form is:

91292 = 22 × 291 × 7871

Now multiplying the highest exponent prime factors to calculate the LCM of 91272 and 91292.

LCM(91272,91292) = 23 × 31 × 38031 × 291 × 7871
LCM(91272,91292) = 2083100856