What is the Least Common Multiple of 98454 and 98460?

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 98454 and 98460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98454 and 98460, than apply into the LCM equation.

GCF(98454,98460) = 6
LCM(98454,98460) = ( 98454 × 98460) / 6
LCM(98454,98460) = 9693780840 / 6
LCM(98454,98460) = 1615630140

Least Common Multiple (LCM) of 98454 and 98460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98454 and 98460. First we will calculate the prime factors of 98454 and 98460.

Prime Factorization of 98454

Prime Factorization of 98460

Now multiplying the highest exponent prime factors to calculate the LCM of 98454 and 98460.

LCM(98454,98460) = 2² × 3² × 61¹ × 269¹ × 5¹ × 547¹
LCM(98454,98460) = 1615630140