What is the Least Common Multiple of 98415 and 98421?

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 98415 and 98421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98415 and 98421, than apply into the LCM equation.

GCF(98415,98421) = 3
LCM(98415,98421) = ( 98415 × 98421) / 3
LCM(98415,98421) = 9686102715 / 3
LCM(98415,98421) = 3228700905

Least Common Multiple (LCM) of 98415 and 98421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98415 and 98421. First we will calculate the prime factors of 98415 and 98421.

Prime Factorization of 98415

Prime Factorization of 98421

Now multiplying the highest exponent prime factors to calculate the LCM of 98415 and 98421.

LCM(98415,98421) = 3⁹ × 5¹ × 53¹ × 619¹
LCM(98415,98421) = 3228700905