What is the Least Common Multiple of 13888 and 13907?

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 13888 and 13907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13888 and 13907, than apply into the LCM equation.

GCF(13888,13907) = 1
LCM(13888,13907) = ( 13888 × 13907) / 1
LCM(13888,13907) = 193140416 / 1
LCM(13888,13907) = 193140416

Least Common Multiple (LCM) of 13888 and 13907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13888 and 13907. First we will calculate the prime factors of 13888 and 13907.

Prime Factorization of 13888

Prime Factorization of 13907

Now multiplying the highest exponent prime factors to calculate the LCM of 13888 and 13907.

LCM(13888,13907) = 2⁶ × 7¹ × 31¹ × 13907¹
LCM(13888,13907) = 193140416