What is the Least Common Multiple of 98054 and 98072?

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 98054 and 98072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98054 and 98072, than apply into the LCM equation.

GCF(98054,98072) = 2
LCM(98054,98072) = ( 98054 × 98072) / 2
LCM(98054,98072) = 9616351888 / 2
LCM(98054,98072) = 4808175944

Least Common Multiple (LCM) of 98054 and 98072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98054 and 98072. First we will calculate the prime factors of 98054 and 98072.

Prime Factorization of 98054

Prime Factorization of 98072

Now multiplying the highest exponent prime factors to calculate the LCM of 98054 and 98072.

LCM(98054,98072) = 2³ × 11¹ × 4457¹ × 13¹ × 23¹ × 41¹
LCM(98054,98072) = 4808175944