What is the Least Common Multiple of 98200 and 98208?

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 98200 and 98208 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98200 and 98208, than apply into the LCM equation.

GCF(98200,98208) = 8
LCM(98200,98208) = ( 98200 × 98208) / 8
LCM(98200,98208) = 9644025600 / 8
LCM(98200,98208) = 1205503200

Least Common Multiple (LCM) of 98200 and 98208 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98200 and 98208. First we will calculate the prime factors of 98200 and 98208.

Prime Factorization of 98200

Prime Factorization of 98208

Now multiplying the highest exponent prime factors to calculate the LCM of 98200 and 98208.

LCM(98200,98208) = 2⁵ × 5² × 491¹ × 3² × 11¹ × 31¹
LCM(98200,98208) = 1205503200