What is the Least Common Multiple of 13930 and 13946?

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 13930 and 13946 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13930 and 13946, than apply into the LCM equation.

GCF(13930,13946) = 2
LCM(13930,13946) = ( 13930 × 13946) / 2
LCM(13930,13946) = 194267780 / 2
LCM(13930,13946) = 97133890

Least Common Multiple (LCM) of 13930 and 13946 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13930 and 13946. First we will calculate the prime factors of 13930 and 13946.

Prime Factorization of 13930

Prime Factorization of 13946

Now multiplying the highest exponent prime factors to calculate the LCM of 13930 and 13946.

LCM(13930,13946) = 2¹ × 5¹ × 7¹ × 199¹ × 19¹ × 367¹
LCM(13930,13946) = 97133890