What is the Least Common Multiple of 98059 and 98067?

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 98059 and 98067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98059 and 98067, than apply into the LCM equation.

GCF(98059,98067) = 1
LCM(98059,98067) = ( 98059 × 98067) / 1
LCM(98059,98067) = 9616351953 / 1
LCM(98059,98067) = 9616351953

Least Common Multiple (LCM) of 98059 and 98067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98059 and 98067. First we will calculate the prime factors of 98059 and 98067.

Prime Factorization of 98059

Prime Factorization of 98067

Now multiplying the highest exponent prime factors to calculate the LCM of 98059 and 98067.

LCM(98059,98067) = 13¹ × 19¹ × 397¹ × 3¹ × 97¹ × 337¹
LCM(98059,98067) = 9616351953