What is the Least Common Multiple of 42005 and 42014?

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 42005 and 42014 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42005 and 42014, than apply into the LCM equation.

GCF(42005,42014) = 1
LCM(42005,42014) = ( 42005 × 42014) / 1
LCM(42005,42014) = 1764798070 / 1
LCM(42005,42014) = 1764798070

Least Common Multiple (LCM) of 42005 and 42014 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42005 and 42014. First we will calculate the prime factors of 42005 and 42014.

Prime Factorization of 42005

Prime Factorization of 42014

Now multiplying the highest exponent prime factors to calculate the LCM of 42005 and 42014.

LCM(42005,42014) = 5¹ × 31¹ × 271¹ × 2¹ × 7¹ × 3001¹
LCM(42005,42014) = 1764798070