What is the Least Common Multiple of 13975 and 13995?

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 13975 and 13995 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13975 and 13995, than apply into the LCM equation.

GCF(13975,13995) = 5
LCM(13975,13995) = ( 13975 × 13995) / 5
LCM(13975,13995) = 195580125 / 5
LCM(13975,13995) = 39116025

Least Common Multiple (LCM) of 13975 and 13995 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13975 and 13995. First we will calculate the prime factors of 13975 and 13995.

Prime Factorization of 13975

Prime Factorization of 13995

Now multiplying the highest exponent prime factors to calculate the LCM of 13975 and 13995.

LCM(13975,13995) = 5² × 13¹ × 43¹ × 3² × 311¹
LCM(13975,13995) = 39116025