What is the Least Common Multiple of 98368 and 98376?

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 98376 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 98376, than apply into the LCM equation.

GCF(98368,98376) = 8
LCM(98368,98376) = ( 98368 × 98376) / 8
LCM(98368,98376) = 9677050368 / 8
LCM(98368,98376) = 1209631296

Least Common Multiple (LCM) of 98368 and 98376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98368 and 98376. First we will calculate the prime factors of 98368 and 98376.

Prime Factorization of 98368

Prime Factorization of 98376

Now multiplying the highest exponent prime factors to calculate the LCM of 98368 and 98376.

LCM(98368,98376) = 2⁶ × 29¹ × 53¹ × 3¹ × 4099¹
LCM(98368,98376) = 1209631296