What is the Least Common Multiple of 98162 and 98176?

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 98162 and 98176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98162 and 98176, than apply into the LCM equation.

GCF(98162,98176) = 2
LCM(98162,98176) = ( 98162 × 98176) / 2
LCM(98162,98176) = 9637152512 / 2
LCM(98162,98176) = 4818576256

Least Common Multiple (LCM) of 98162 and 98176 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98162 and 98176. First we will calculate the prime factors of 98162 and 98176.

Prime Factorization of 98162

Prime Factorization of 98176

Now multiplying the highest exponent prime factors to calculate the LCM of 98162 and 98176.

LCM(98162,98176) = 2⁷ × 49081¹ × 13¹ × 59¹
LCM(98162,98176) = 4818576256