What is the Least Common Multiple of 82238 and 82252?

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 82238 and 82252 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82238 and 82252, than apply into the LCM equation.

GCF(82238,82252) = 2
LCM(82238,82252) = ( 82238 × 82252) / 2
LCM(82238,82252) = 6764239976 / 2
LCM(82238,82252) = 3382119988

Least Common Multiple (LCM) of 82238 and 82252 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82238 and 82252. First we will calculate the prime factors of 82238 and 82252.

Prime Factorization of 82238

Prime Factorization of 82252

Now multiplying the highest exponent prime factors to calculate the LCM of 82238 and 82252.

LCM(82238,82252) = 2² × 13¹ × 3163¹ × 20563¹
LCM(82238,82252) = 3382119988