What is the Least Common Multiple of 98459 and 98470?

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 98459 and 98470 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98459 and 98470, than apply into the LCM equation.

GCF(98459,98470) = 1
LCM(98459,98470) = ( 98459 × 98470) / 1
LCM(98459,98470) = 9695257730 / 1
LCM(98459,98470) = 9695257730

Least Common Multiple (LCM) of 98459 and 98470 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98459 and 98470. First we will calculate the prime factors of 98459 and 98470.

Prime Factorization of 98459

Prime Factorization of 98470

Now multiplying the highest exponent prime factors to calculate the LCM of 98459 and 98470.

LCM(98459,98470) = 98459¹ × 2¹ × 5¹ × 43¹ × 229¹
LCM(98459,98470) = 9695257730