What is the Least Common Multiple of 13930 and 13942?

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 13942 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 13942, than apply into the LCM equation.

GCF(13930,13942) = 2
LCM(13930,13942) = ( 13930 × 13942) / 2
LCM(13930,13942) = 194212060 / 2
LCM(13930,13942) = 97106030

Least Common Multiple (LCM) of 13930 and 13942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13930 and 13942. First we will calculate the prime factors of 13930 and 13942.

Prime Factorization of 13930

Prime Factorization of 13942

Now multiplying the highest exponent prime factors to calculate the LCM of 13930 and 13942.

LCM(13930,13942) = 2¹ × 5¹ × 7¹ × 199¹ × 6971¹
LCM(13930,13942) = 97106030