What is the Least Common Multiple of 98743 and 98752?

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 98743 and 98752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98743 and 98752, than apply into the LCM equation.

GCF(98743,98752) = 1
LCM(98743,98752) = ( 98743 × 98752) / 1
LCM(98743,98752) = 9751068736 / 1
LCM(98743,98752) = 9751068736

Least Common Multiple (LCM) of 98743 and 98752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98743 and 98752. First we will calculate the prime factors of 98743 and 98752.

Prime Factorization of 98743

Prime Factorization of 98752

Now multiplying the highest exponent prime factors to calculate the LCM of 98743 and 98752.

LCM(98743,98752) = 19¹ × 5197¹ × 2⁶ × 1543¹
LCM(98743,98752) = 9751068736