What is the Least Common Multiple of 34964 and 34975?

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 34964 and 34975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34964 and 34975, than apply into the LCM equation.

GCF(34964,34975) = 1
LCM(34964,34975) = ( 34964 × 34975) / 1
LCM(34964,34975) = 1222865900 / 1
LCM(34964,34975) = 1222865900

Least Common Multiple (LCM) of 34964 and 34975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34964 and 34975. First we will calculate the prime factors of 34964 and 34975.

Prime Factorization of 34964

Prime Factorization of 34975

Now multiplying the highest exponent prime factors to calculate the LCM of 34964 and 34975.

LCM(34964,34975) = 2² × 8741¹ × 5² × 1399¹
LCM(34964,34975) = 1222865900