What is the Least Common Multiple of 98133 and 98147?

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 98133 and 98147 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98133 and 98147, than apply into the LCM equation.

GCF(98133,98147) = 7
LCM(98133,98147) = ( 98133 × 98147) / 7
LCM(98133,98147) = 9631459551 / 7
LCM(98133,98147) = 1375922793

Least Common Multiple (LCM) of 98133 and 98147 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98133 and 98147. First we will calculate the prime factors of 98133 and 98147.

Prime Factorization of 98133

Prime Factorization of 98147

Now multiplying the highest exponent prime factors to calculate the LCM of 98133 and 98147.

LCM(98133,98147) = 3¹ × 7² × 4673¹ × 2003¹
LCM(98133,98147) = 1375922793