What is the Least Common Multiple of 67098 and 67112?

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 67098 and 67112 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67098 and 67112, than apply into the LCM equation.

GCF(67098,67112) = 2
LCM(67098,67112) = ( 67098 × 67112) / 2
LCM(67098,67112) = 4503080976 / 2
LCM(67098,67112) = 2251540488

Least Common Multiple (LCM) of 67098 and 67112 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67098 and 67112. First we will calculate the prime factors of 67098 and 67112.

Prime Factorization of 67098

Prime Factorization of 67112

Now multiplying the highest exponent prime factors to calculate the LCM of 67098 and 67112.

LCM(67098,67112) = 2³ × 3¹ × 53¹ × 211¹ × 8389¹
LCM(67098,67112) = 2251540488