What is the Least Common Multiple of 12935 and 12955?

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 12935 and 12955 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12935 and 12955, than apply into the LCM equation.

GCF(12935,12955) = 5
LCM(12935,12955) = ( 12935 × 12955) / 5
LCM(12935,12955) = 167572925 / 5
LCM(12935,12955) = 33514585

Least Common Multiple (LCM) of 12935 and 12955 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12935 and 12955. First we will calculate the prime factors of 12935 and 12955.

Prime Factorization of 12935

Prime Factorization of 12955

Now multiplying the highest exponent prime factors to calculate the LCM of 12935 and 12955.

LCM(12935,12955) = 5¹ × 13¹ × 199¹ × 2591¹
LCM(12935,12955) = 33514585