What is the Least Common Multiple of 98098 and 98105?

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 98098 and 98105 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98098 and 98105, than apply into the LCM equation.

GCF(98098,98105) = 7
LCM(98098,98105) = ( 98098 × 98105) / 7
LCM(98098,98105) = 9623904290 / 7
LCM(98098,98105) = 1374843470

Least Common Multiple (LCM) of 98098 and 98105 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98098 and 98105. First we will calculate the prime factors of 98098 and 98105.

Prime Factorization of 98098

Prime Factorization of 98105

Now multiplying the highest exponent prime factors to calculate the LCM of 98098 and 98105.

LCM(98098,98105) = 2¹ × 7³ × 11¹ × 13¹ × 5¹ × 2803¹
LCM(98098,98105) = 1374843470