What is the Least Common Multiple of 98756 and 98768?

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 98756 and 98768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98756 and 98768, than apply into the LCM equation.

GCF(98756,98768) = 4
LCM(98756,98768) = ( 98756 × 98768) / 4
LCM(98756,98768) = 9753932608 / 4
LCM(98756,98768) = 2438483152

Least Common Multiple (LCM) of 98756 and 98768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98756 and 98768. First we will calculate the prime factors of 98756 and 98768.

Prime Factorization of 98756

Prime Factorization of 98768

Now multiplying the highest exponent prime factors to calculate the LCM of 98756 and 98768.

LCM(98756,98768) = 2⁴ × 7¹ × 3527¹ × 6173¹
LCM(98756,98768) = 2438483152