What is the Least Common Multiple of 42501 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 42501 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 42501 and 42519, than apply into the LCM equation.

GCF(42501,42519) = 3
LCM(42501,42519) = ( 42501 × 42519) / 3
LCM(42501,42519) = 1807100019 / 3
LCM(42501,42519) = 602366673

Least Common Multiple (LCM) of 42501 and 42519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42501 and 42519. First we will calculate the prime factors of 42501 and 42519.

Prime Factorization of 42501

Prime Factorization of 42519

Now multiplying the highest exponent prime factors to calculate the LCM of 42501 and 42519.

LCM(42501,42519) = 3¹ × 31¹ × 457¹ × 14173¹
LCM(42501,42519) = 602366673