What is the Least Common Multiple of 82412 and 82421?

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 82412 and 82421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82412 and 82421, than apply into the LCM equation.

GCF(82412,82421) = 1
LCM(82412,82421) = ( 82412 × 82421) / 1
LCM(82412,82421) = 6792479452 / 1
LCM(82412,82421) = 6792479452

Least Common Multiple (LCM) of 82412 and 82421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82412 and 82421. First we will calculate the prime factors of 82412 and 82421.

Prime Factorization of 82412

Prime Factorization of 82421

Now multiplying the highest exponent prime factors to calculate the LCM of 82412 and 82421.

LCM(82412,82421) = 2² × 11¹ × 1873¹ × 82421¹
LCM(82412,82421) = 6792479452