What is the Least Common Multiple of 13920 and 13935?

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 13920 and 13935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13920 and 13935, than apply into the LCM equation.

GCF(13920,13935) = 15
LCM(13920,13935) = ( 13920 × 13935) / 15
LCM(13920,13935) = 193975200 / 15
LCM(13920,13935) = 12931680

Least Common Multiple (LCM) of 13920 and 13935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13920 and 13935. First we will calculate the prime factors of 13920 and 13935.

Prime Factorization of 13920

Prime Factorization of 13935

Now multiplying the highest exponent prime factors to calculate the LCM of 13920 and 13935.

LCM(13920,13935) = 2⁵ × 3¹ × 5¹ × 29¹ × 929¹
LCM(13920,13935) = 12931680