What is the Least Common Multiple of 98580 and 98585?

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 98580 and 98585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98580 and 98585, than apply into the LCM equation.

GCF(98580,98585) = 5
LCM(98580,98585) = ( 98580 × 98585) / 5
LCM(98580,98585) = 9718509300 / 5
LCM(98580,98585) = 1943701860

Least Common Multiple (LCM) of 98580 and 98585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98580 and 98585. First we will calculate the prime factors of 98580 and 98585.

Prime Factorization of 98580

Prime Factorization of 98585

Now multiplying the highest exponent prime factors to calculate the LCM of 98580 and 98585.

LCM(98580,98585) = 2² × 3¹ × 5¹ × 31¹ × 53¹ × 19717¹
LCM(98580,98585) = 1943701860