What is the Least Common Multiple of 66791 and 66809?

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 66791 and 66809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66791 and 66809, than apply into the LCM equation.

GCF(66791,66809) = 1
LCM(66791,66809) = ( 66791 × 66809) / 1
LCM(66791,66809) = 4462239919 / 1
LCM(66791,66809) = 4462239919

Least Common Multiple (LCM) of 66791 and 66809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66791 and 66809. First we will calculate the prime factors of 66791 and 66809.

Prime Factorization of 66791

Prime Factorization of 66809

Now multiplying the highest exponent prime factors to calculate the LCM of 66791 and 66809.

LCM(66791,66809) = 66791¹ × 66809¹
LCM(66791,66809) = 4462239919