What is the Least Common Multiple of 53326 and 53336?

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 53326 and 53336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53326 and 53336, than apply into the LCM equation.

GCF(53326,53336) = 2
LCM(53326,53336) = ( 53326 × 53336) / 2
LCM(53326,53336) = 2844195536 / 2
LCM(53326,53336) = 1422097768

Least Common Multiple (LCM) of 53326 and 53336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53326 and 53336. First we will calculate the prime factors of 53326 and 53336.

Prime Factorization of 53326

Prime Factorization of 53336

Now multiplying the highest exponent prime factors to calculate the LCM of 53326 and 53336.

LCM(53326,53336) = 2³ × 7¹ × 13¹ × 293¹ × 59¹ × 113¹
LCM(53326,53336) = 1422097768