What is the Least Common Multiple of 82945 and 82960?

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 82945 and 82960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82945 and 82960, than apply into the LCM equation.

GCF(82945,82960) = 5
LCM(82945,82960) = ( 82945 × 82960) / 5
LCM(82945,82960) = 6881117200 / 5
LCM(82945,82960) = 1376223440

Least Common Multiple (LCM) of 82945 and 82960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82945 and 82960. First we will calculate the prime factors of 82945 and 82960.

Prime Factorization of 82945

Prime Factorization of 82960

Now multiplying the highest exponent prime factors to calculate the LCM of 82945 and 82960.

LCM(82945,82960) = 5¹ × 53¹ × 313¹ × 2⁴ × 17¹ × 61¹
LCM(82945,82960) = 1376223440