What is the Least Common Multiple of 13955 and 13975?

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 13955 and 13975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13955 and 13975, than apply into the LCM equation.

GCF(13955,13975) = 5
LCM(13955,13975) = ( 13955 × 13975) / 5
LCM(13955,13975) = 195021125 / 5
LCM(13955,13975) = 39004225

Least Common Multiple (LCM) of 13955 and 13975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13955 and 13975. First we will calculate the prime factors of 13955 and 13975.

Prime Factorization of 13955

Prime Factorization of 13975

Now multiplying the highest exponent prime factors to calculate the LCM of 13955 and 13975.

LCM(13955,13975) = 5² × 2791¹ × 13¹ × 43¹
LCM(13955,13975) = 39004225