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What is the Least Common Multiple of 91322 and 91338?

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 91322 and 91338 is 4170584418.

LCM(91322,91338) = 4170584418

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Least Common Multiple of 91322 and 91338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91322 and 91338, than apply into the LCM equation.

GCF(91322,91338) = 2
LCM(91322,91338) = ( 91322 × 91338) / 2
LCM(91322,91338) = 8341168836 / 2
LCM(91322,91338) = 4170584418

Least Common Multiple (LCM) of 91322 and 91338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91322 and 91338. First we will calculate the prime factors of 91322 and 91338.

Prime Factorization of 91322

Prime factors of 91322 are 2, 7, 11, 593. Prime factorization of 91322 in exponential form is:

91322 = 21 × 71 × 111 × 5931

Prime Factorization of 91338

Prime factors of 91338 are 2, 3, 13, 1171. Prime factorization of 91338 in exponential form is:

91338 = 21 × 31 × 131 × 11711

Now multiplying the highest exponent prime factors to calculate the LCM of 91322 and 91338.

LCM(91322,91338) = 21 × 71 × 111 × 5931 × 31 × 131 × 11711
LCM(91322,91338) = 4170584418