What is the Least Common Multiple of 42497 and 42509?

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 42497 and 42509 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42497 and 42509, than apply into the LCM equation.

GCF(42497,42509) = 1
LCM(42497,42509) = ( 42497 × 42509) / 1
LCM(42497,42509) = 1806504973 / 1
LCM(42497,42509) = 1806504973

Least Common Multiple (LCM) of 42497 and 42509 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42497 and 42509. First we will calculate the prime factors of 42497 and 42509.

Prime Factorization of 42497

Prime Factorization of 42509

Now multiplying the highest exponent prime factors to calculate the LCM of 42497 and 42509.

LCM(42497,42509) = 7¹ × 13¹ × 467¹ × 42509¹
LCM(42497,42509) = 1806504973