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What is the Least Common Multiple of 91382 and 91388?

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 91382 and 91388 is 4175609108.

LCM(91382,91388) = 4175609108

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Least Common Multiple of 91382 and 91388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91382 and 91388, than apply into the LCM equation.

GCF(91382,91388) = 2
LCM(91382,91388) = ( 91382 × 91388) / 2
LCM(91382,91388) = 8351218216 / 2
LCM(91382,91388) = 4175609108

Least Common Multiple (LCM) of 91382 and 91388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91382 and 91388. First we will calculate the prime factors of 91382 and 91388.

Prime Factorization of 91382

Prime factors of 91382 are 2, 45691. Prime factorization of 91382 in exponential form is:

91382 = 21 × 456911

Prime Factorization of 91388

Prime factors of 91388 are 2, 11, 31, 67. Prime factorization of 91388 in exponential form is:

91388 = 22 × 111 × 311 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 91382 and 91388.

LCM(91382,91388) = 22 × 456911 × 111 × 311 × 671
LCM(91382,91388) = 4175609108