What is the Least Common Multiple of 42069 and 42075?

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 42069 and 42075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42069 and 42075, than apply into the LCM equation.

GCF(42069,42075) = 3
LCM(42069,42075) = ( 42069 × 42075) / 3
LCM(42069,42075) = 1770053175 / 3
LCM(42069,42075) = 590017725

Least Common Multiple (LCM) of 42069 and 42075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42069 and 42075. First we will calculate the prime factors of 42069 and 42075.

Prime Factorization of 42069

Prime Factorization of 42075

Now multiplying the highest exponent prime factors to calculate the LCM of 42069 and 42075.

LCM(42069,42075) = 3² × 37¹ × 379¹ × 5² × 11¹ × 17¹
LCM(42069,42075) = 590017725