What is the Least Common Multiple of 91835 and 91841?
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 91835 and 91841 is 8434218235.
LCM(91835,91841) = 8434218235
Least Common Multiple of 91835 and 91841 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91835 and 91841, than apply into the LCM equation.
GCF(91835,91841) = 1
LCM(91835,91841) = ( 91835 × 91841) / 1
LCM(91835,91841) = 8434218235 / 1
LCM(91835,91841) = 8434218235
Least Common Multiple (LCM) of 91835 and 91841 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91835 and 91841. First we will calculate the prime factors of 91835 and 91841.
Prime Factorization of 91835
Prime factors of 91835 are 5, 18367. Prime factorization of 91835 in exponential form is:
91835 = 51 × 183671
Prime Factorization of 91841
Prime factors of 91841 are 91841. Prime factorization of 91841 in exponential form is:
91841 = 918411
Now multiplying the highest exponent prime factors to calculate the LCM of 91835 and 91841.
LCM(91835,91841) = 51 × 183671 × 918411
LCM(91835,91841) = 8434218235
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