What is the Least Common Multiple of 91837 and 91847?
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 91837 and 91847 is 8434952939.
LCM(91837,91847) = 8434952939
Least Common Multiple of 91837 and 91847 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91837 and 91847, than apply into the LCM equation.
GCF(91837,91847) = 1
LCM(91837,91847) = ( 91837 × 91847) / 1
LCM(91837,91847) = 8434952939 / 1
LCM(91837,91847) = 8434952939
Least Common Multiple (LCM) of 91837 and 91847 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91837 and 91847. First we will calculate the prime factors of 91837 and 91847.
Prime Factorization of 91837
Prime factors of 91837 are 91837. Prime factorization of 91837 in exponential form is:
91837 = 918371
Prime Factorization of 91847
Prime factors of 91847 are 7, 13121. Prime factorization of 91847 in exponential form is:
91847 = 71 × 131211
Now multiplying the highest exponent prime factors to calculate the LCM of 91837 and 91847.
LCM(91837,91847) = 918371 × 71 × 131211
LCM(91837,91847) = 8434952939
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