What is the Least Common Multiple of 41097 and 41116?

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 41097 and 41116 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41097 and 41116, than apply into the LCM equation.

GCF(41097,41116) = 19
LCM(41097,41116) = ( 41097 × 41116) / 19
LCM(41097,41116) = 1689744252 / 19
LCM(41097,41116) = 88933908

Least Common Multiple (LCM) of 41097 and 41116 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41097 and 41116. First we will calculate the prime factors of 41097 and 41116.

Prime Factorization of 41097

Prime Factorization of 41116

Now multiplying the highest exponent prime factors to calculate the LCM of 41097 and 41116.

LCM(41097,41116) = 3¹ × 7¹ × 19¹ × 103¹ × 2² × 541¹
LCM(41097,41116) = 88933908