What is the Least Common Multiple of 41351 and 41368?
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 41351 and 41368 is 1710608168.
LCM(41351,41368) = 1710608168
Least Common Multiple of 41351 and 41368 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41351 and 41368, than apply into the LCM equation.
GCF(41351,41368) = 1
LCM(41351,41368) = ( 41351 × 41368) / 1
LCM(41351,41368) = 1710608168 / 1
LCM(41351,41368) = 1710608168
Least Common Multiple (LCM) of 41351 and 41368 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41351 and 41368. First we will calculate the prime factors of 41351 and 41368.
Prime Factorization of 41351
Prime factors of 41351 are 41351. Prime factorization of 41351 in exponential form is:
41351 = 413511
Prime Factorization of 41368
Prime factors of 41368 are 2, 5171. Prime factorization of 41368 in exponential form is:
41368 = 23 × 51711
Now multiplying the highest exponent prime factors to calculate the LCM of 41351 and 41368.
LCM(41351,41368) = 413511 × 23 × 51711
LCM(41351,41368) = 1710608168
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