What is the Least Common Multiple of 71923 and 71935?
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 71923 and 71935 is 5173781005.
LCM(71923,71935) = 5173781005
Least Common Multiple of 71923 and 71935 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71923 and 71935, than apply into the LCM equation.
GCF(71923,71935) = 1
LCM(71923,71935) = ( 71923 × 71935) / 1
LCM(71923,71935) = 5173781005 / 1
LCM(71923,71935) = 5173781005
Least Common Multiple (LCM) of 71923 and 71935 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 71923 and 71935. First we will calculate the prime factors of 71923 and 71935.
Prime Factorization of 71923
Prime factors of 71923 are 71, 1013. Prime factorization of 71923 in exponential form is:
71923 = 711 × 10131
Prime Factorization of 71935
Prime factors of 71935 are 5, 14387. Prime factorization of 71935 in exponential form is:
71935 = 51 × 143871
Now multiplying the highest exponent prime factors to calculate the LCM of 71923 and 71935.
LCM(71923,71935) = 711 × 10131 × 51 × 143871
LCM(71923,71935) = 5173781005
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