What is the Least Common Multiple of 91405 and 91422?
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 91405 and 91422 is 8356427910.
LCM(91405,91422) = 8356427910
Least Common Multiple of 91405 and 91422 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91405 and 91422, than apply into the LCM equation.
GCF(91405,91422) = 1
LCM(91405,91422) = ( 91405 × 91422) / 1
LCM(91405,91422) = 8356427910 / 1
LCM(91405,91422) = 8356427910
Least Common Multiple (LCM) of 91405 and 91422 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 91405 and 91422. First we will calculate the prime factors of 91405 and 91422.
Prime Factorization of 91405
Prime factors of 91405 are 5, 101, 181. Prime factorization of 91405 in exponential form is:
91405 = 51 × 1011 × 1811
Prime Factorization of 91422
Prime factors of 91422 are 2, 3, 1693. Prime factorization of 91422 in exponential form is:
91422 = 21 × 33 × 16931
Now multiplying the highest exponent prime factors to calculate the LCM of 91405 and 91422.
LCM(91405,91422) = 51 × 1011 × 1811 × 21 × 33 × 16931
LCM(91405,91422) = 8356427910
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