What is the Least Common Multiple of 98451 and 98469?

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 98451 and 98469 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98451 and 98469, than apply into the LCM equation.

GCF(98451,98469) = 9
LCM(98451,98469) = ( 98451 × 98469) / 9
LCM(98451,98469) = 9694371519 / 9
LCM(98451,98469) = 1077152391

Least Common Multiple (LCM) of 98451 and 98469 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98451 and 98469. First we will calculate the prime factors of 98451 and 98469.

Prime Factorization of 98451

Prime Factorization of 98469

Now multiplying the highest exponent prime factors to calculate the LCM of 98451 and 98469.

LCM(98451,98469) = 3³ × 10939¹ × 7¹ × 521¹
LCM(98451,98469) = 1077152391