What is the Least Common Multiple of 42075 and 42083?

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 42075 and 42083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42075 and 42083, than apply into the LCM equation.

GCF(42075,42083) = 1
LCM(42075,42083) = ( 42075 × 42083) / 1
LCM(42075,42083) = 1770642225 / 1
LCM(42075,42083) = 1770642225

Least Common Multiple (LCM) of 42075 and 42083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42075 and 42083. First we will calculate the prime factors of 42075 and 42083.

Prime Factorization of 42075

Prime Factorization of 42083

Now multiplying the highest exponent prime factors to calculate the LCM of 42075 and 42083.

LCM(42075,42083) = 3² × 5² × 11¹ × 17¹ × 42083¹
LCM(42075,42083) = 1770642225