What is the Least Common Multiple of 98860 and 98872?

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 98860 and 98872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98860 and 98872, than apply into the LCM equation.

GCF(98860,98872) = 4
LCM(98860,98872) = ( 98860 × 98872) / 4
LCM(98860,98872) = 9774485920 / 4
LCM(98860,98872) = 2443621480

Least Common Multiple (LCM) of 98860 and 98872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98860 and 98872. First we will calculate the prime factors of 98860 and 98872.

Prime Factorization of 98860

Prime Factorization of 98872

Now multiplying the highest exponent prime factors to calculate the LCM of 98860 and 98872.

LCM(98860,98872) = 2³ × 5¹ × 4943¹ × 17¹ × 727¹
LCM(98860,98872) = 2443621480