What is the Least Common Multiple of 42065 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 42065 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 42065 and 42075, than apply into the LCM equation.

GCF(42065,42075) = 5
LCM(42065,42075) = ( 42065 × 42075) / 5
LCM(42065,42075) = 1769884875 / 5
LCM(42065,42075) = 353976975

Least Common Multiple (LCM) of 42065 and 42075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42065 and 42075. First we will calculate the prime factors of 42065 and 42075.

Prime Factorization of 42065

Prime Factorization of 42075

Now multiplying the highest exponent prime factors to calculate the LCM of 42065 and 42075.

LCM(42065,42075) = 5² × 47¹ × 179¹ × 3² × 11¹ × 17¹
LCM(42065,42075) = 353976975