What is the Least Common Multiple of 34925 and 34945?

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 34925 and 34945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34925 and 34945, than apply into the LCM equation.

GCF(34925,34945) = 5
LCM(34925,34945) = ( 34925 × 34945) / 5
LCM(34925,34945) = 1220454125 / 5
LCM(34925,34945) = 244090825

Least Common Multiple (LCM) of 34925 and 34945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34925 and 34945. First we will calculate the prime factors of 34925 and 34945.

Prime Factorization of 34925

Prime Factorization of 34945

Now multiplying the highest exponent prime factors to calculate the LCM of 34925 and 34945.

LCM(34925,34945) = 5² × 11¹ × 127¹ × 29¹ × 241¹
LCM(34925,34945) = 244090825