What is the Least Common Multiple of 98578 and 98596?

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 98578 and 98596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98578 and 98596, than apply into the LCM equation.

GCF(98578,98596) = 2
LCM(98578,98596) = ( 98578 × 98596) / 2
LCM(98578,98596) = 9719396488 / 2
LCM(98578,98596) = 4859698244

Least Common Multiple (LCM) of 98578 and 98596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98578 and 98596. First we will calculate the prime factors of 98578 and 98596.

Prime Factorization of 98578

Prime Factorization of 98596

Now multiplying the highest exponent prime factors to calculate the LCM of 98578 and 98596.

LCM(98578,98596) = 2² × 23¹ × 2143¹ × 157²
LCM(98578,98596) = 4859698244