What is the Least Common Multiple of 91842 and 91859?
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 91842 and 91859 is 8436514278.
LCM(91842,91859) = 8436514278
Least Common Multiple of 91842 and 91859 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91842 and 91859, than apply into the LCM equation.
GCF(91842,91859) = 1
LCM(91842,91859) = ( 91842 × 91859) / 1
LCM(91842,91859) = 8436514278 / 1
LCM(91842,91859) = 8436514278
Least Common Multiple (LCM) of 91842 and 91859 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91842 and 91859. First we will calculate the prime factors of 91842 and 91859.
Prime Factorization of 91842
Prime factors of 91842 are 2, 3, 15307. Prime factorization of 91842 in exponential form is:
91842 = 21 × 31 × 153071
Prime Factorization of 91859
Prime factors of 91859 are 97, 947. Prime factorization of 91859 in exponential form is:
91859 = 971 × 9471
Now multiplying the highest exponent prime factors to calculate the LCM of 91842 and 91859.
LCM(91842,91859) = 21 × 31 × 153071 × 971 × 9471
LCM(91842,91859) = 8436514278
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