What is the Least Common Multiple of 42509 and 42514?

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 42509 and 42514 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42509 and 42514, than apply into the LCM equation.

GCF(42509,42514) = 1
LCM(42509,42514) = ( 42509 × 42514) / 1
LCM(42509,42514) = 1807227626 / 1
LCM(42509,42514) = 1807227626

Least Common Multiple (LCM) of 42509 and 42514 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42509 and 42514. First we will calculate the prime factors of 42509 and 42514.

Prime Factorization of 42509

Prime Factorization of 42514

Now multiplying the highest exponent prime factors to calculate the LCM of 42509 and 42514.

LCM(42509,42514) = 42509¹ × 2¹ × 29¹ × 733¹
LCM(42509,42514) = 1807227626