What is the Least Common Multiple of 73429 and 73441?

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 73429 and 73441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73429 and 73441, than apply into the LCM equation.

GCF(73429,73441) = 1
LCM(73429,73441) = ( 73429 × 73441) / 1
LCM(73429,73441) = 5392699189 / 1
LCM(73429,73441) = 5392699189

Least Common Multiple (LCM) of 73429 and 73441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73429 and 73441. First we will calculate the prime factors of 73429 and 73441.

Prime Factorization of 73429

Prime Factorization of 73441

Now multiplying the highest exponent prime factors to calculate the LCM of 73429 and 73441.

LCM(73429,73441) = 97¹ × 757¹ × 271²
LCM(73429,73441) = 5392699189