What is the Least Common Multiple of 52251 and 52262?

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 52251 and 52262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52251 and 52262, than apply into the LCM equation.

GCF(52251,52262) = 1
LCM(52251,52262) = ( 52251 × 52262) / 1
LCM(52251,52262) = 2730741762 / 1
LCM(52251,52262) = 2730741762

Least Common Multiple (LCM) of 52251 and 52262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52251 and 52262. First we will calculate the prime factors of 52251 and 52262.

Prime Factorization of 52251

Prime Factorization of 52262

Now multiplying the highest exponent prime factors to calculate the LCM of 52251 and 52262.

LCM(52251,52262) = 3¹ × 17417¹ × 2¹ × 7¹ × 3733¹
LCM(52251,52262) = 2730741762