What is the Least Common Multiple of 73454 and 73471?

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 73454 and 73471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73454 and 73471, than apply into the LCM equation.

GCF(73454,73471) = 1
LCM(73454,73471) = ( 73454 × 73471) / 1
LCM(73454,73471) = 5396738834 / 1
LCM(73454,73471) = 5396738834

Least Common Multiple (LCM) of 73454 and 73471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73454 and 73471. First we will calculate the prime factors of 73454 and 73471.

Prime Factorization of 73454

Prime Factorization of 73471

Now multiplying the highest exponent prime factors to calculate the LCM of 73454 and 73471.

LCM(73454,73471) = 2¹ × 19¹ × 1933¹ × 73471¹
LCM(73454,73471) = 5396738834