What is the Least Common Multiple of 42014 and 42032?

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 42014 and 42032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42014 and 42032, than apply into the LCM equation.

GCF(42014,42032) = 2
LCM(42014,42032) = ( 42014 × 42032) / 2
LCM(42014,42032) = 1765932448 / 2
LCM(42014,42032) = 882966224

Least Common Multiple (LCM) of 42014 and 42032 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42014 and 42032. First we will calculate the prime factors of 42014 and 42032.

Prime Factorization of 42014

Prime Factorization of 42032

Now multiplying the highest exponent prime factors to calculate the LCM of 42014 and 42032.

LCM(42014,42032) = 2⁴ × 7¹ × 3001¹ × 37¹ × 71¹
LCM(42014,42032) = 882966224