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What is the Least Common Multiple of 91796 and 91814?

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 91796 and 91814 is 4214078972.

LCM(91796,91814) = 4214078972

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Least Common Multiple of 91796 and 91814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91796 and 91814, than apply into the LCM equation.

GCF(91796,91814) = 2
LCM(91796,91814) = ( 91796 × 91814) / 2
LCM(91796,91814) = 8428157944 / 2
LCM(91796,91814) = 4214078972

Least Common Multiple (LCM) of 91796 and 91814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91796 and 91814. First we will calculate the prime factors of 91796 and 91814.

Prime Factorization of 91796

Prime factors of 91796 are 2, 53, 433. Prime factorization of 91796 in exponential form is:

91796 = 22 × 531 × 4331

Prime Factorization of 91814

Prime factors of 91814 are 2, 29, 1583. Prime factorization of 91814 in exponential form is:

91814 = 21 × 291 × 15831

Now multiplying the highest exponent prime factors to calculate the LCM of 91796 and 91814.

LCM(91796,91814) = 22 × 531 × 4331 × 291 × 15831
LCM(91796,91814) = 4214078972