What is the Least Common Multiple of 98190 and 98209?

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 98190 and 98209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98190 and 98209, than apply into the LCM equation.

GCF(98190,98209) = 1
LCM(98190,98209) = ( 98190 × 98209) / 1
LCM(98190,98209) = 9643141710 / 1
LCM(98190,98209) = 9643141710

Least Common Multiple (LCM) of 98190 and 98209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98190 and 98209. First we will calculate the prime factors of 98190 and 98209.

Prime Factorization of 98190

Prime Factorization of 98209

Now multiplying the highest exponent prime factors to calculate the LCM of 98190 and 98209.

LCM(98190,98209) = 2¹ × 3² × 5¹ × 1091¹ × 17¹ × 53¹ × 109¹
LCM(98190,98209) = 9643141710