What is the Least Common Multiple of 91967 and 91979?
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 91967 and 91979 is 8459032693.
LCM(91967,91979) = 8459032693
Least Common Multiple of 91967 and 91979 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91967 and 91979, than apply into the LCM equation.
GCF(91967,91979) = 1
LCM(91967,91979) = ( 91967 × 91979) / 1
LCM(91967,91979) = 8459032693 / 1
LCM(91967,91979) = 8459032693
Least Common Multiple (LCM) of 91967 and 91979 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91967 and 91979. First we will calculate the prime factors of 91967 and 91979.
Prime Factorization of 91967
Prime factors of 91967 are 91967. Prime factorization of 91967 in exponential form is:
91967 = 919671
Prime Factorization of 91979
Prime factors of 91979 are 19, 47, 103. Prime factorization of 91979 in exponential form is:
91979 = 191 × 471 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 91967 and 91979.
LCM(91967,91979) = 919671 × 191 × 471 × 1031
LCM(91967,91979) = 8459032693
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