What is the Least Common Multiple of 77909 and 77923?

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 77909 and 77923 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77909 and 77923, than apply into the LCM equation.

GCF(77909,77923) = 1
LCM(77909,77923) = ( 77909 × 77923) / 1
LCM(77909,77923) = 6070903007 / 1
LCM(77909,77923) = 6070903007

Least Common Multiple (LCM) of 77909 and 77923 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77909 and 77923. First we will calculate the prime factors of 77909 and 77923.

Prime Factorization of 77909

Prime Factorization of 77923

Now multiplying the highest exponent prime factors to calculate the LCM of 77909 and 77923.

LCM(77909,77923) = 13² × 461¹ × 29¹ × 2687¹
LCM(77909,77923) = 6070903007