What is the Least Common Multiple of 56502 and 56519?

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 56502 and 56519 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56502 and 56519, than apply into the LCM equation.

GCF(56502,56519) = 1
LCM(56502,56519) = ( 56502 × 56519) / 1
LCM(56502,56519) = 3193436538 / 1
LCM(56502,56519) = 3193436538

Least Common Multiple (LCM) of 56502 and 56519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56502 and 56519. First we will calculate the prime factors of 56502 and 56519.

Prime Factorization of 56502

Prime Factorization of 56519

Now multiplying the highest exponent prime factors to calculate the LCM of 56502 and 56519.

LCM(56502,56519) = 2¹ × 3² × 43¹ × 73¹ × 56519¹
LCM(56502,56519) = 3193436538