What is the Least Common Multiple of 98450 and 98454?

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 98450 and 98454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98450 and 98454, than apply into the LCM equation.

GCF(98450,98454) = 2
LCM(98450,98454) = ( 98450 × 98454) / 2
LCM(98450,98454) = 9692796300 / 2
LCM(98450,98454) = 4846398150

Least Common Multiple (LCM) of 98450 and 98454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98450 and 98454. First we will calculate the prime factors of 98450 and 98454.

Prime Factorization of 98450

Prime Factorization of 98454

Now multiplying the highest exponent prime factors to calculate the LCM of 98450 and 98454.

LCM(98450,98454) = 2¹ × 5² × 11¹ × 179¹ × 3¹ × 61¹ × 269¹
LCM(98450,98454) = 4846398150