What is the Least Common Multiple of 73098 and 73114?

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 73098 and 73114 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73098 and 73114, than apply into the LCM equation.

GCF(73098,73114) = 2
LCM(73098,73114) = ( 73098 × 73114) / 2
LCM(73098,73114) = 5344487172 / 2
LCM(73098,73114) = 2672243586

Least Common Multiple (LCM) of 73098 and 73114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73098 and 73114. First we will calculate the prime factors of 73098 and 73114.

Prime Factorization of 73098

Prime Factorization of 73114

Now multiplying the highest exponent prime factors to calculate the LCM of 73098 and 73114.

LCM(73098,73114) = 2¹ × 3² × 31¹ × 131¹ × 139¹ × 263¹
LCM(73098,73114) = 2672243586