What is the Least Common Multiple of 34911 and 34925?

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 34911 and 34925 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34911 and 34925, than apply into the LCM equation.

GCF(34911,34925) = 1
LCM(34911,34925) = ( 34911 × 34925) / 1
LCM(34911,34925) = 1219266675 / 1
LCM(34911,34925) = 1219266675

Least Common Multiple (LCM) of 34911 and 34925 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34911 and 34925. First we will calculate the prime factors of 34911 and 34925.

Prime Factorization of 34911

Prime Factorization of 34925

Now multiplying the highest exponent prime factors to calculate the LCM of 34911 and 34925.

LCM(34911,34925) = 3⁴ × 431¹ × 5² × 11¹ × 127¹
LCM(34911,34925) = 1219266675