What is the Least Common Multiple of 52326 and 52342?

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 52326 and 52342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52326 and 52342, than apply into the LCM equation.

GCF(52326,52342) = 2
LCM(52326,52342) = ( 52326 × 52342) / 2
LCM(52326,52342) = 2738847492 / 2
LCM(52326,52342) = 1369423746

Least Common Multiple (LCM) of 52326 and 52342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52326 and 52342. First we will calculate the prime factors of 52326 and 52342.

Prime Factorization of 52326

Prime Factorization of 52342

Now multiplying the highest exponent prime factors to calculate the LCM of 52326 and 52342.

LCM(52326,52342) = 2¹ × 3⁴ × 17¹ × 19¹ × 26171¹
LCM(52326,52342) = 1369423746