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What is the Least Common Multiple of 91379 and 91389?

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 91379 and 91389 is 8351035431.

LCM(91379,91389) = 8351035431

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Least Common Multiple of 91379 and 91389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91379 and 91389, than apply into the LCM equation.

GCF(91379,91389) = 1
LCM(91379,91389) = ( 91379 × 91389) / 1
LCM(91379,91389) = 8351035431 / 1
LCM(91379,91389) = 8351035431

Least Common Multiple (LCM) of 91379 and 91389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91379 and 91389. First we will calculate the prime factors of 91379 and 91389.

Prime Factorization of 91379

Prime factors of 91379 are 23, 29, 137. Prime factorization of 91379 in exponential form is:

91379 = 231 × 291 × 1371

Prime Factorization of 91389

Prime factors of 91389 are 3, 41, 743. Prime factorization of 91389 in exponential form is:

91389 = 31 × 411 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 91379 and 91389.

LCM(91379,91389) = 231 × 291 × 1371 × 31 × 411 × 7431
LCM(91379,91389) = 8351035431