What is the Least Common Multiple of 71935 and 71942?

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 71935 and 71942 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71935 and 71942, than apply into the LCM equation.

GCF(71935,71942) = 1
LCM(71935,71942) = ( 71935 × 71942) / 1
LCM(71935,71942) = 5175147770 / 1
LCM(71935,71942) = 5175147770

Least Common Multiple (LCM) of 71935 and 71942 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71935 and 71942. First we will calculate the prime factors of 71935 and 71942.

Prime Factorization of 71935

Prime Factorization of 71942

Now multiplying the highest exponent prime factors to calculate the LCM of 71935 and 71942.

LCM(71935,71942) = 5¹ × 14387¹ × 2¹ × 13¹ × 2767¹
LCM(71935,71942) = 5175147770