What is the Least Common Multiple of 41116 and 41135?

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 of 41116 and 41135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41116 and 41135, than apply into the LCM equation.

GCF(41116,41135) = 19
LCM(41116,41135) = ( 41116 × 41135) / 19
LCM(41116,41135) = 1691306660 / 19
LCM(41116,41135) = 89016140

Least Common Multiple (LCM) of 41116 and 41135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41116 and 41135. First we will calculate the prime factors of 41116 and 41135.

Prime Factorization of 41116

Prime Factorization of 41135

Now multiplying the highest exponent prime factors to calculate the LCM of 41116 and 41135.

LCM(41116,41135) = 2² × 19¹ × 541¹ × 5¹ × 433¹
LCM(41116,41135) = 89016140