What is the Least Common Multiple of 41387 and 41395?
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 41387 and 41395 is 1713214865.
LCM(41387,41395) = 1713214865
Least Common Multiple of 41387 and 41395 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41387 and 41395, than apply into the LCM equation.
GCF(41387,41395) = 1
LCM(41387,41395) = ( 41387 × 41395) / 1
LCM(41387,41395) = 1713214865 / 1
LCM(41387,41395) = 1713214865
Least Common Multiple (LCM) of 41387 and 41395 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41387 and 41395. First we will calculate the prime factors of 41387 and 41395.
Prime Factorization of 41387
Prime factors of 41387 are 41387. Prime factorization of 41387 in exponential form is:
41387 = 413871
Prime Factorization of 41395
Prime factors of 41395 are 5, 17, 487. Prime factorization of 41395 in exponential form is:
41395 = 51 × 171 × 4871
Now multiplying the highest exponent prime factors to calculate the LCM of 41387 and 41395.
LCM(41387,41395) = 413871 × 51 × 171 × 4871
LCM(41387,41395) = 1713214865
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