What is the Least Common Multiple of 13760 and 13769?

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 13760 and 13769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13760 and 13769, than apply into the LCM equation.

GCF(13760,13769) = 1
LCM(13760,13769) = ( 13760 × 13769) / 1
LCM(13760,13769) = 189461440 / 1
LCM(13760,13769) = 189461440

Least Common Multiple (LCM) of 13760 and 13769 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13760 and 13769. First we will calculate the prime factors of 13760 and 13769.

Prime Factorization of 13760

Prime Factorization of 13769

Now multiplying the highest exponent prime factors to calculate the LCM of 13760 and 13769.

LCM(13760,13769) = 2⁶ × 5¹ × 43¹ × 7² × 281¹
LCM(13760,13769) = 189461440