What is the Least Common Multiple of 91797 and 91801?
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 91797 and 91801 is 8427056397.
LCM(91797,91801) = 8427056397
Least Common Multiple of 91797 and 91801 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91797 and 91801, than apply into the LCM equation.
GCF(91797,91801) = 1
LCM(91797,91801) = ( 91797 × 91801) / 1
LCM(91797,91801) = 8427056397 / 1
LCM(91797,91801) = 8427056397
Least Common Multiple (LCM) of 91797 and 91801 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91797 and 91801. First we will calculate the prime factors of 91797 and 91801.
Prime Factorization of 91797
Prime factors of 91797 are 3, 37, 827. Prime factorization of 91797 in exponential form is:
91797 = 31 × 371 × 8271
Prime Factorization of 91801
Prime factors of 91801 are 91801. Prime factorization of 91801 in exponential form is:
91801 = 918011
Now multiplying the highest exponent prime factors to calculate the LCM of 91797 and 91801.
LCM(91797,91801) = 31 × 371 × 8271 × 918011
LCM(91797,91801) = 8427056397
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