What is the Least Common Multiple of 41209 and 41221?

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 41209 and 41221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41209 and 41221, than apply into the LCM equation.

GCF(41209,41221) = 1
LCM(41209,41221) = ( 41209 × 41221) / 1
LCM(41209,41221) = 1698676189 / 1
LCM(41209,41221) = 1698676189

Least Common Multiple (LCM) of 41209 and 41221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41209 and 41221. First we will calculate the prime factors of 41209 and 41221.

Prime Factorization of 41209

Prime Factorization of 41221

Now multiplying the highest exponent prime factors to calculate the LCM of 41209 and 41221.

LCM(41209,41221) = 7² × 29² × 41221¹
LCM(41209,41221) = 1698676189