What is the Least Common Multiple of 71799 and 71809?

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 71799 and 71809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71799 and 71809, than apply into the LCM equation.

GCF(71799,71809) = 1
LCM(71799,71809) = ( 71799 × 71809) / 1
LCM(71799,71809) = 5155814391 / 1
LCM(71799,71809) = 5155814391

Least Common Multiple (LCM) of 71799 and 71809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71799 and 71809. First we will calculate the prime factors of 71799 and 71809.

Prime Factorization of 71799

Prime Factorization of 71809

Now multiplying the highest exponent prime factors to calculate the LCM of 71799 and 71809.

LCM(71799,71809) = 3¹ × 7¹ × 13¹ × 263¹ × 71809¹
LCM(71799,71809) = 5155814391