What is the Least Common Multiple of 41218 and 41236?
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 41218 and 41236 is 849832724.
LCM(41218,41236) = 849832724
Least Common Multiple of 41218 and 41236 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41218 and 41236, than apply into the LCM equation.
GCF(41218,41236) = 2
LCM(41218,41236) = ( 41218 × 41236) / 2
LCM(41218,41236) = 1699665448 / 2
LCM(41218,41236) = 849832724
Least Common Multiple (LCM) of 41218 and 41236 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41218 and 41236. First we will calculate the prime factors of 41218 and 41236.
Prime Factorization of 41218
Prime factors of 41218 are 2, 37, 557. Prime factorization of 41218 in exponential form is:
41218 = 21 × 371 × 5571
Prime Factorization of 41236
Prime factors of 41236 are 2, 13, 61. Prime factorization of 41236 in exponential form is:
41236 = 22 × 132 × 611
Now multiplying the highest exponent prime factors to calculate the LCM of 41218 and 41236.
LCM(41218,41236) = 22 × 371 × 5571 × 132 × 611
LCM(41218,41236) = 849832724
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