What is the Least Common Multiple of 98378 and 98384?

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 98378 and 98384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98378 and 98384, than apply into the LCM equation.

GCF(98378,98384) = 2
LCM(98378,98384) = ( 98378 × 98384) / 2
LCM(98378,98384) = 9678821152 / 2
LCM(98378,98384) = 4839410576

Least Common Multiple (LCM) of 98378 and 98384 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98378 and 98384. First we will calculate the prime factors of 98378 and 98384.

Prime Factorization of 98378

Prime Factorization of 98384

Now multiplying the highest exponent prime factors to calculate the LCM of 98378 and 98384.

LCM(98378,98384) = 2⁴ × 7¹ × 7027¹ × 11¹ × 13¹ × 43¹
LCM(98378,98384) = 4839410576