What is the Least Common Multiple of 42013 and 42020?

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 42013 and 42020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42013 and 42020, than apply into the LCM equation.

GCF(42013,42020) = 1
LCM(42013,42020) = ( 42013 × 42020) / 1
LCM(42013,42020) = 1765386260 / 1
LCM(42013,42020) = 1765386260

Least Common Multiple (LCM) of 42013 and 42020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42013 and 42020. First we will calculate the prime factors of 42013 and 42020.

Prime Factorization of 42013

Prime Factorization of 42020

Now multiplying the highest exponent prime factors to calculate the LCM of 42013 and 42020.

LCM(42013,42020) = 42013¹ × 2² × 5¹ × 11¹ × 191¹
LCM(42013,42020) = 1765386260