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What is the Least Common Multiple of 91299 and 91304?

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 91299 and 91304 is 8335963896.

LCM(91299,91304) = 8335963896

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Least Common Multiple of 91299 and 91304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91299 and 91304, than apply into the LCM equation.

GCF(91299,91304) = 1
LCM(91299,91304) = ( 91299 × 91304) / 1
LCM(91299,91304) = 8335963896 / 1
LCM(91299,91304) = 8335963896

Least Common Multiple (LCM) of 91299 and 91304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91299 and 91304. First we will calculate the prime factors of 91299 and 91304.

Prime Factorization of 91299

Prime factors of 91299 are 3, 13, 2341. Prime factorization of 91299 in exponential form is:

91299 = 31 × 131 × 23411

Prime Factorization of 91304

Prime factors of 91304 are 2, 101, 113. Prime factorization of 91304 in exponential form is:

91304 = 23 × 1011 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 91299 and 91304.

LCM(91299,91304) = 31 × 131 × 23411 × 23 × 1011 × 1131
LCM(91299,91304) = 8335963896