GCF and LCM Calculator Logo

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

LCM Calculator and
and

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