What is the Least Common Multiple of 91067 and 91076?
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 91067 and 91076 is 8294018092.
LCM(91067,91076) = 8294018092
Least Common Multiple of 91067 and 91076 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91067 and 91076, than apply into the LCM equation.
GCF(91067,91076) = 1
LCM(91067,91076) = ( 91067 × 91076) / 1
LCM(91067,91076) = 8294018092 / 1
LCM(91067,91076) = 8294018092
Least Common Multiple (LCM) of 91067 and 91076 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91067 and 91076. First we will calculate the prime factors of 91067 and 91076.
Prime Factorization of 91067
Prime factors of 91067 are 19, 4793. Prime factorization of 91067 in exponential form is:
91067 = 191 × 47931
Prime Factorization of 91076
Prime factors of 91076 are 2, 22769. Prime factorization of 91076 in exponential form is:
91076 = 22 × 227691
Now multiplying the highest exponent prime factors to calculate the LCM of 91067 and 91076.
LCM(91067,91076) = 191 × 47931 × 22 × 227691
LCM(91067,91076) = 8294018092
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