What is the Least Common Multiple of 91847 and 91852?
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 91847 and 91852 is 8436330644.
LCM(91847,91852) = 8436330644
Least Common Multiple of 91847 and 91852 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91847 and 91852, than apply into the LCM equation.
GCF(91847,91852) = 1
LCM(91847,91852) = ( 91847 × 91852) / 1
LCM(91847,91852) = 8436330644 / 1
LCM(91847,91852) = 8436330644
Least Common Multiple (LCM) of 91847 and 91852 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91847 and 91852. First we will calculate the prime factors of 91847 and 91852.
Prime Factorization of 91847
Prime factors of 91847 are 7, 13121. Prime factorization of 91847 in exponential form is:
91847 = 71 × 131211
Prime Factorization of 91852
Prime factors of 91852 are 2, 22963. Prime factorization of 91852 in exponential form is:
91852 = 22 × 229631
Now multiplying the highest exponent prime factors to calculate the LCM of 91847 and 91852.
LCM(91847,91852) = 71 × 131211 × 22 × 229631
LCM(91847,91852) = 8436330644
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