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What is the Least Common Multiple of 91182 and 91188?

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 91182 and 91188 is 1385784036.

LCM(91182,91188) = 1385784036

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Least Common Multiple of 91182 and 91188 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91182 and 91188, than apply into the LCM equation.

GCF(91182,91188) = 6
LCM(91182,91188) = ( 91182 × 91188) / 6
LCM(91182,91188) = 8314704216 / 6
LCM(91182,91188) = 1385784036

Least Common Multiple (LCM) of 91182 and 91188 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91182 and 91188. First we will calculate the prime factors of 91182 and 91188.

Prime Factorization of 91182

Prime factors of 91182 are 2, 3, 7, 13, 167. Prime factorization of 91182 in exponential form is:

91182 = 21 × 31 × 71 × 131 × 1671

Prime Factorization of 91188

Prime factors of 91188 are 2, 3, 17, 149. Prime factorization of 91188 in exponential form is:

91188 = 22 × 32 × 171 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 91182 and 91188.

LCM(91182,91188) = 22 × 32 × 71 × 131 × 1671 × 171 × 1491
LCM(91182,91188) = 1385784036