What is the Least Common Multiple of 82251 and 82262?

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 82251 and 82262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82251 and 82262, than apply into the LCM equation.

GCF(82251,82262) = 1
LCM(82251,82262) = ( 82251 × 82262) / 1
LCM(82251,82262) = 6766131762 / 1
LCM(82251,82262) = 6766131762

Least Common Multiple (LCM) of 82251 and 82262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82251 and 82262. First we will calculate the prime factors of 82251 and 82262.

Prime Factorization of 82251

Prime Factorization of 82262

Now multiplying the highest exponent prime factors to calculate the LCM of 82251 and 82262.

LCM(82251,82262) = 3² × 13¹ × 19¹ × 37¹ × 2¹ × 41131¹
LCM(82251,82262) = 6766131762