What is the Least Common Multiple of 98800 and 98814?

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 98800 and 98814 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98800 and 98814, than apply into the LCM equation.

GCF(98800,98814) = 2
LCM(98800,98814) = ( 98800 × 98814) / 2
LCM(98800,98814) = 9762823200 / 2
LCM(98800,98814) = 4881411600

Least Common Multiple (LCM) of 98800 and 98814 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98800 and 98814. First we will calculate the prime factors of 98800 and 98814.

Prime Factorization of 98800

Prime Factorization of 98814

Now multiplying the highest exponent prime factors to calculate the LCM of 98800 and 98814.

LCM(98800,98814) = 2⁴ × 5² × 13¹ × 19¹ × 3¹ × 43¹ × 383¹
LCM(98800,98814) = 4881411600