What is the Least Common Multiple of 98368 and 98378?

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 98368 and 98378 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98368 and 98378, than apply into the LCM equation.

GCF(98368,98378) = 2
LCM(98368,98378) = ( 98368 × 98378) / 2
LCM(98368,98378) = 9677247104 / 2
LCM(98368,98378) = 4838623552

Least Common Multiple (LCM) of 98368 and 98378 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98368 and 98378. First we will calculate the prime factors of 98368 and 98378.

Prime Factorization of 98368

Prime Factorization of 98378

Now multiplying the highest exponent prime factors to calculate the LCM of 98368 and 98378.

LCM(98368,98378) = 2⁶ × 29¹ × 53¹ × 7¹ × 7027¹
LCM(98368,98378) = 4838623552