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What is the Least Common Multiple of 91379 and 91391?

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 91391 is 8351218189.

LCM(91379,91391) = 8351218189

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Least Common Multiple of 91379 and 91391 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 91391, than apply into the LCM equation.

GCF(91379,91391) = 1
LCM(91379,91391) = ( 91379 × 91391) / 1
LCM(91379,91391) = 8351218189 / 1
LCM(91379,91391) = 8351218189

Least Common Multiple (LCM) of 91379 and 91391 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91379 and 91391. First we will calculate the prime factors of 91379 and 91391.

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 91391

Prime factors of 91391 are 59, 1549. Prime factorization of 91391 in exponential form is:

91391 = 591 × 15491

Now multiplying the highest exponent prime factors to calculate the LCM of 91379 and 91391.

LCM(91379,91391) = 231 × 291 × 1371 × 591 × 15491
LCM(91379,91391) = 8351218189