What is the Least Common Multiple of 68925 and 68931?

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 68925 and 68931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68925 and 68931, than apply into the LCM equation.

GCF(68925,68931) = 3
LCM(68925,68931) = ( 68925 × 68931) / 3
LCM(68925,68931) = 4751069175 / 3
LCM(68925,68931) = 1583689725

Least Common Multiple (LCM) of 68925 and 68931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68925 and 68931. First we will calculate the prime factors of 68925 and 68931.

Prime Factorization of 68925

Prime Factorization of 68931

Now multiplying the highest exponent prime factors to calculate the LCM of 68925 and 68931.

LCM(68925,68931) = 3⁴ × 5² × 919¹ × 23¹ × 37¹
LCM(68925,68931) = 1583689725