What is the Least Common Multiple of 73098 and 73103?

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 73103 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 73103, than apply into the LCM equation.

GCF(73098,73103) = 1
LCM(73098,73103) = ( 73098 × 73103) / 1
LCM(73098,73103) = 5343683094 / 1
LCM(73098,73103) = 5343683094

Least Common Multiple (LCM) of 73098 and 73103 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73098 and 73103. First we will calculate the prime factors of 73098 and 73103.

Prime Factorization of 73098

Prime Factorization of 73103

Now multiplying the highest exponent prime factors to calculate the LCM of 73098 and 73103.

LCM(73098,73103) = 2¹ × 3² × 31¹ × 131¹ × 41¹ × 1783¹
LCM(73098,73103) = 5343683094