What is the Least Common Multiple of 98075 and 98080?

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 98075 and 98080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98075 and 98080, than apply into the LCM equation.

GCF(98075,98080) = 5
LCM(98075,98080) = ( 98075 × 98080) / 5
LCM(98075,98080) = 9619196000 / 5
LCM(98075,98080) = 1923839200

Least Common Multiple (LCM) of 98075 and 98080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98075 and 98080. First we will calculate the prime factors of 98075 and 98080.

Prime Factorization of 98075

Prime Factorization of 98080

Now multiplying the highest exponent prime factors to calculate the LCM of 98075 and 98080.

LCM(98075,98080) = 5² × 3923¹ × 2⁵ × 613¹
LCM(98075,98080) = 1923839200