What is the Least Common Multiple of 74209 and 74228?

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 74228 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 74228, than apply into the LCM equation.

GCF(74209,74228) = 1
LCM(74209,74228) = ( 74209 × 74228) / 1
LCM(74209,74228) = 5508385652 / 1
LCM(74209,74228) = 5508385652

Least Common Multiple (LCM) of 74209 and 74228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74209 and 74228. First we will calculate the prime factors of 74209 and 74228.

Prime Factorization of 74209

Prime Factorization of 74228

Now multiplying the highest exponent prime factors to calculate the LCM of 74209 and 74228.

LCM(74209,74228) = 74209¹ × 2² × 7¹ × 11¹ × 241¹
LCM(74209,74228) = 5508385652