What is the Least Common Multiple of 98430 and 98440?

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 98430 and 98440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98430 and 98440, than apply into the LCM equation.

GCF(98430,98440) = 10
LCM(98430,98440) = ( 98430 × 98440) / 10
LCM(98430,98440) = 9689449200 / 10
LCM(98430,98440) = 968944920

Least Common Multiple (LCM) of 98430 and 98440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98430 and 98440. First we will calculate the prime factors of 98430 and 98440.

Prime Factorization of 98430

Prime Factorization of 98440

Now multiplying the highest exponent prime factors to calculate the LCM of 98430 and 98440.

LCM(98430,98440) = 2³ × 3¹ × 5¹ × 17¹ × 193¹ × 23¹ × 107¹
LCM(98430,98440) = 968944920