What is the Least Common Multiple of 13905 and 13914?

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 13905 and 13914 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13905 and 13914, than apply into the LCM equation.

GCF(13905,13914) = 9
LCM(13905,13914) = ( 13905 × 13914) / 9
LCM(13905,13914) = 193474170 / 9
LCM(13905,13914) = 21497130

Least Common Multiple (LCM) of 13905 and 13914 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13905 and 13914. First we will calculate the prime factors of 13905 and 13914.

Prime Factorization of 13905

Prime Factorization of 13914

Now multiplying the highest exponent prime factors to calculate the LCM of 13905 and 13914.

LCM(13905,13914) = 3³ × 5¹ × 103¹ × 2¹ × 773¹
LCM(13905,13914) = 21497130