What is the Least Common Multiple of 98812 and 98831?

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 98812 and 98831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98812 and 98831, than apply into the LCM equation.

GCF(98812,98831) = 1
LCM(98812,98831) = ( 98812 × 98831) / 1
LCM(98812,98831) = 9765688772 / 1
LCM(98812,98831) = 9765688772

Least Common Multiple (LCM) of 98812 and 98831 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98812 and 98831. First we will calculate the prime factors of 98812 and 98831.

Prime Factorization of 98812

Prime Factorization of 98831

Now multiplying the highest exponent prime factors to calculate the LCM of 98812 and 98831.

LCM(98812,98831) = 2² × 7¹ × 3529¹ × 23¹ × 4297¹
LCM(98812,98831) = 9765688772