What is the Least Common Multiple of 98208 and 98213?

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 98213 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 98213, than apply into the LCM equation.

GCF(98208,98213) = 1
LCM(98208,98213) = ( 98208 × 98213) / 1
LCM(98208,98213) = 9645302304 / 1
LCM(98208,98213) = 9645302304

Least Common Multiple (LCM) of 98208 and 98213 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98208 and 98213. First we will calculate the prime factors of 98208 and 98213.

Prime Factorization of 98208

Prime Factorization of 98213

Now multiplying the highest exponent prime factors to calculate the LCM of 98208 and 98213.

LCM(98208,98213) = 2⁵ × 3² × 11¹ × 31¹ × 98213¹
LCM(98208,98213) = 9645302304