What is the Least Common Multiple of 98208 and 98228?

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 98208 and 98228 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98208 and 98228, than apply into the LCM equation.

GCF(98208,98228) = 4
LCM(98208,98228) = ( 98208 × 98228) / 4
LCM(98208,98228) = 9646775424 / 4
LCM(98208,98228) = 2411693856

Least Common Multiple (LCM) of 98208 and 98228 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98208 and 98228. First we will calculate the prime factors of 98208 and 98228.

Prime Factorization of 98208

Prime Factorization of 98228

Now multiplying the highest exponent prime factors to calculate the LCM of 98208 and 98228.

LCM(98208,98228) = 2⁵ × 3² × 11¹ × 31¹ × 13¹ × 1889¹
LCM(98208,98228) = 2411693856