What is the Least Common Multiple of 73114 and 73133?

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 73114 and 73133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73114 and 73133, than apply into the LCM equation.

GCF(73114,73133) = 1
LCM(73114,73133) = ( 73114 × 73133) / 1
LCM(73114,73133) = 5347046162 / 1
LCM(73114,73133) = 5347046162

Least Common Multiple (LCM) of 73114 and 73133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73114 and 73133. First we will calculate the prime factors of 73114 and 73133.

Prime Factorization of 73114

Prime Factorization of 73133

Now multiplying the highest exponent prime factors to calculate the LCM of 73114 and 73133.

LCM(73114,73133) = 2¹ × 139¹ × 263¹ × 73133¹
LCM(73114,73133) = 5347046162