What is the Least Common Multiple of 34945 and 34960?

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 34945 and 34960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34945 and 34960, than apply into the LCM equation.

GCF(34945,34960) = 5
LCM(34945,34960) = ( 34945 × 34960) / 5
LCM(34945,34960) = 1221677200 / 5
LCM(34945,34960) = 244335440

Least Common Multiple (LCM) of 34945 and 34960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34945 and 34960. First we will calculate the prime factors of 34945 and 34960.

Prime Factorization of 34945

Prime Factorization of 34960

Now multiplying the highest exponent prime factors to calculate the LCM of 34945 and 34960.

LCM(34945,34960) = 5¹ × 29¹ × 241¹ × 2⁴ × 19¹ × 23¹
LCM(34945,34960) = 244335440