What is the Least Common Multiple of 42519 and 42530?

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 42519 and 42530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42519 and 42530, than apply into the LCM equation.

GCF(42519,42530) = 1
LCM(42519,42530) = ( 42519 × 42530) / 1
LCM(42519,42530) = 1808333070 / 1
LCM(42519,42530) = 1808333070

Least Common Multiple (LCM) of 42519 and 42530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42519 and 42530. First we will calculate the prime factors of 42519 and 42530.

Prime Factorization of 42519

Prime Factorization of 42530

Now multiplying the highest exponent prime factors to calculate the LCM of 42519 and 42530.

LCM(42519,42530) = 3¹ × 14173¹ × 2¹ × 5¹ × 4253¹
LCM(42519,42530) = 1808333070