What is the Least Common Multiple of 98832 and 98850?

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 98832 and 98850 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98832 and 98850, than apply into the LCM equation.

GCF(98832,98850) = 6
LCM(98832,98850) = ( 98832 × 98850) / 6
LCM(98832,98850) = 9769543200 / 6
LCM(98832,98850) = 1628257200

Least Common Multiple (LCM) of 98832 and 98850 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98832 and 98850. First we will calculate the prime factors of 98832 and 98850.

Prime Factorization of 98832

Prime Factorization of 98850

Now multiplying the highest exponent prime factors to calculate the LCM of 98832 and 98850.

LCM(98832,98850) = 2⁴ × 3¹ × 29¹ × 71¹ × 5² × 659¹
LCM(98832,98850) = 1628257200