What is the Least Common Multiple of 98058 and 98062?

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 98058 and 98062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98058 and 98062, than apply into the LCM equation.

GCF(98058,98062) = 2
LCM(98058,98062) = ( 98058 × 98062) / 2
LCM(98058,98062) = 9615763596 / 2
LCM(98058,98062) = 4807881798

Least Common Multiple (LCM) of 98058 and 98062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98058 and 98062. First we will calculate the prime factors of 98058 and 98062.

Prime Factorization of 98058

Prime Factorization of 98062

Now multiplying the highest exponent prime factors to calculate the LCM of 98058 and 98062.

LCM(98058,98062) = 2¹ × 3¹ × 59¹ × 277¹ × 49031¹
LCM(98058,98062) = 4807881798