What is the Least Common Multiple of 98228 and 98241?

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 98228 and 98241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98228 and 98241, than apply into the LCM equation.

GCF(98228,98241) = 13
LCM(98228,98241) = ( 98228 × 98241) / 13
LCM(98228,98241) = 9650016948 / 13
LCM(98228,98241) = 742308996

Least Common Multiple (LCM) of 98228 and 98241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98228 and 98241. First we will calculate the prime factors of 98228 and 98241.

Prime Factorization of 98228

Prime Factorization of 98241

Now multiplying the highest exponent prime factors to calculate the LCM of 98228 and 98241.

LCM(98228,98241) = 2² × 13¹ × 1889¹ × 3¹ × 11¹ × 229¹
LCM(98228,98241) = 742308996