What is the Least Common Multiple of 42515 and 42519?

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 42515 and 42519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42515 and 42519, than apply into the LCM equation.

GCF(42515,42519) = 1
LCM(42515,42519) = ( 42515 × 42519) / 1
LCM(42515,42519) = 1807695285 / 1
LCM(42515,42519) = 1807695285

Least Common Multiple (LCM) of 42515 and 42519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42515 and 42519. First we will calculate the prime factors of 42515 and 42519.

Prime Factorization of 42515

Prime Factorization of 42519

Now multiplying the highest exponent prime factors to calculate the LCM of 42515 and 42519.

LCM(42515,42519) = 5¹ × 11¹ × 773¹ × 3¹ × 14173¹
LCM(42515,42519) = 1807695285