What is the Least Common Multiple of 98703 and 98712?

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 98703 and 98712 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98703 and 98712, than apply into the LCM equation.

GCF(98703,98712) = 9
LCM(98703,98712) = ( 98703 × 98712) / 9
LCM(98703,98712) = 9743170536 / 9
LCM(98703,98712) = 1082574504

Least Common Multiple (LCM) of 98703 and 98712 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98703 and 98712. First we will calculate the prime factors of 98703 and 98712.

Prime Factorization of 98703

Prime Factorization of 98712

Now multiplying the highest exponent prime factors to calculate the LCM of 98703 and 98712.

LCM(98703,98712) = 3³ × 11¹ × 997¹ × 2³ × 457¹
LCM(98703,98712) = 1082574504