What is the Least Common Multiple of 74209 and 74221?

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 74209 and 74221 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74209 and 74221, than apply into the LCM equation.

GCF(74209,74221) = 1
LCM(74209,74221) = ( 74209 × 74221) / 1
LCM(74209,74221) = 5507866189 / 1
LCM(74209,74221) = 5507866189

Least Common Multiple (LCM) of 74209 and 74221 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74209 and 74221. First we will calculate the prime factors of 74209 and 74221.

Prime Factorization of 74209

Prime Factorization of 74221

Now multiplying the highest exponent prime factors to calculate the LCM of 74209 and 74221.

LCM(74209,74221) = 74209¹ × 7¹ × 23¹ × 461¹
LCM(74209,74221) = 5507866189