What is the Least Common Multiple of 91163 and 91170?
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 91163 and 91170 is 8311330710.
LCM(91163,91170) = 8311330710
Least Common Multiple of 91163 and 91170 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91163 and 91170, than apply into the LCM equation.
GCF(91163,91170) = 1
LCM(91163,91170) = ( 91163 × 91170) / 1
LCM(91163,91170) = 8311330710 / 1
LCM(91163,91170) = 8311330710
Least Common Multiple (LCM) of 91163 and 91170 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91163 and 91170. First we will calculate the prime factors of 91163 and 91170.
Prime Factorization of 91163
Prime factors of 91163 are 91163. Prime factorization of 91163 in exponential form is:
91163 = 911631
Prime Factorization of 91170
Prime factors of 91170 are 2, 3, 5, 1013. Prime factorization of 91170 in exponential form is:
91170 = 21 × 32 × 51 × 10131
Now multiplying the highest exponent prime factors to calculate the LCM of 91163 and 91170.
LCM(91163,91170) = 911631 × 21 × 32 × 51 × 10131
LCM(91163,91170) = 8311330710
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