What is the Least Common Multiple of 39935 and 39942?

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 39935 and 39942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39935 and 39942, than apply into the LCM equation.

GCF(39935,39942) = 7
LCM(39935,39942) = ( 39935 × 39942) / 7
LCM(39935,39942) = 1595083770 / 7
LCM(39935,39942) = 227869110

Least Common Multiple (LCM) of 39935 and 39942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39935 and 39942. First we will calculate the prime factors of 39935 and 39942.

Prime Factorization of 39935

Prime Factorization of 39942

Now multiplying the highest exponent prime factors to calculate the LCM of 39935 and 39942.

LCM(39935,39942) = 5¹ × 7² × 163¹ × 2¹ × 3² × 317¹
LCM(39935,39942) = 227869110