What is the Least Common Multiple of 42014 and 42030?

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 42030 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 42030, than apply into the LCM equation.

GCF(42014,42030) = 2
LCM(42014,42030) = ( 42014 × 42030) / 2
LCM(42014,42030) = 1765848420 / 2
LCM(42014,42030) = 882924210

Least Common Multiple (LCM) of 42014 and 42030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42014 and 42030. First we will calculate the prime factors of 42014 and 42030.

Prime Factorization of 42014

Prime Factorization of 42030

Now multiplying the highest exponent prime factors to calculate the LCM of 42014 and 42030.

LCM(42014,42030) = 2¹ × 7¹ × 3001¹ × 3² × 5¹ × 467¹
LCM(42014,42030) = 882924210