What is the Least Common Multiple of 51209 and 51221?

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 51209 and 51221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51209 and 51221, than apply into the LCM equation.

GCF(51209,51221) = 1
LCM(51209,51221) = ( 51209 × 51221) / 1
LCM(51209,51221) = 2622976189 / 1
LCM(51209,51221) = 2622976189

Least Common Multiple (LCM) of 51209 and 51221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51209 and 51221. First we will calculate the prime factors of 51209 and 51221.

Prime Factorization of 51209

Prime Factorization of 51221

Now multiplying the highest exponent prime factors to calculate the LCM of 51209 and 51221.

LCM(51209,51221) = 41¹ × 1249¹ × 17¹ × 23¹ × 131¹
LCM(51209,51221) = 2622976189