What is the Least Common Multiple of 82419 and 82428?

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 82419 and 82428 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82419 and 82428, than apply into the LCM equation.

GCF(82419,82428) = 3
LCM(82419,82428) = ( 82419 × 82428) / 3
LCM(82419,82428) = 6793633332 / 3
LCM(82419,82428) = 2264544444

Least Common Multiple (LCM) of 82419 and 82428 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82419 and 82428. First we will calculate the prime factors of 82419 and 82428.

Prime Factorization of 82419

Prime Factorization of 82428

Now multiplying the highest exponent prime factors to calculate the LCM of 82419 and 82428.

LCM(82419,82428) = 3¹ × 83¹ × 331¹ × 2² × 6869¹
LCM(82419,82428) = 2264544444