What is the Least Common Multiple of 98832 and 98842?

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 98842 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 98842, than apply into the LCM equation.

GCF(98832,98842) = 2
LCM(98832,98842) = ( 98832 × 98842) / 2
LCM(98832,98842) = 9768752544 / 2
LCM(98832,98842) = 4884376272

Least Common Multiple (LCM) of 98832 and 98842 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98832 and 98842. First we will calculate the prime factors of 98832 and 98842.

Prime Factorization of 98832

Prime Factorization of 98842

Now multiplying the highest exponent prime factors to calculate the LCM of 98832 and 98842.

LCM(98832,98842) = 2⁴ × 3¹ × 29¹ × 71¹ × 73¹ × 677¹
LCM(98832,98842) = 4884376272