What is the Least Common Multiple of 98192 and 98211?

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 98192 and 98211 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98192 and 98211, than apply into the LCM equation.

GCF(98192,98211) = 19
LCM(98192,98211) = ( 98192 × 98211) / 19
LCM(98192,98211) = 9643534512 / 19
LCM(98192,98211) = 507554448

Least Common Multiple (LCM) of 98192 and 98211 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98192 and 98211. First we will calculate the prime factors of 98192 and 98211.

Prime Factorization of 98192

Prime Factorization of 98211

Now multiplying the highest exponent prime factors to calculate the LCM of 98192 and 98211.

LCM(98192,98211) = 2⁴ × 17¹ × 19² × 3¹ × 1723¹
LCM(98192,98211) = 507554448