What is the Least Common Multiple of 98368 and 98382?

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 98382 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 98382, than apply into the LCM equation.

GCF(98368,98382) = 2
LCM(98368,98382) = ( 98368 × 98382) / 2
LCM(98368,98382) = 9677640576 / 2
LCM(98368,98382) = 4838820288

Least Common Multiple (LCM) of 98368 and 98382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98368 and 98382. First we will calculate the prime factors of 98368 and 98382.

Prime Factorization of 98368

Prime Factorization of 98382

Now multiplying the highest exponent prime factors to calculate the LCM of 98368 and 98382.

LCM(98368,98382) = 2⁶ × 29¹ × 53¹ × 3¹ × 19¹ × 863¹
LCM(98368,98382) = 4838820288