What is the Least Common Multiple of 98788 and 98800?

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 98788 and 98800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98788 and 98800, than apply into the LCM equation.

GCF(98788,98800) = 4
LCM(98788,98800) = ( 98788 × 98800) / 4
LCM(98788,98800) = 9760254400 / 4
LCM(98788,98800) = 2440063600

Least Common Multiple (LCM) of 98788 and 98800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98788 and 98800. First we will calculate the prime factors of 98788 and 98800.

Prime Factorization of 98788

Prime Factorization of 98800

Now multiplying the highest exponent prime factors to calculate the LCM of 98788 and 98800.

LCM(98788,98800) = 2⁴ × 24697¹ × 5² × 13¹ × 19¹
LCM(98788,98800) = 2440063600