What is the Least Common Multiple of 34906 and 34919?

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 34906 and 34919 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34906 and 34919, than apply into the LCM equation.

GCF(34906,34919) = 1
LCM(34906,34919) = ( 34906 × 34919) / 1
LCM(34906,34919) = 1218882614 / 1
LCM(34906,34919) = 1218882614

Least Common Multiple (LCM) of 34906 and 34919 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34906 and 34919. First we will calculate the prime factors of 34906 and 34919.

Prime Factorization of 34906

Prime Factorization of 34919

Now multiplying the highest exponent prime factors to calculate the LCM of 34906 and 34919.

LCM(34906,34919) = 2¹ × 31¹ × 563¹ × 34919¹
LCM(34906,34919) = 1218882614