What is the Least Common Multiple of 53068 and 53083?

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 53068 and 53083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53068 and 53083, than apply into the LCM equation.

GCF(53068,53083) = 1
LCM(53068,53083) = ( 53068 × 53083) / 1
LCM(53068,53083) = 2817008644 / 1
LCM(53068,53083) = 2817008644

Least Common Multiple (LCM) of 53068 and 53083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53068 and 53083. First we will calculate the prime factors of 53068 and 53083.

Prime Factorization of 53068

Prime Factorization of 53083

Now multiplying the highest exponent prime factors to calculate the LCM of 53068 and 53083.

LCM(53068,53083) = 2² × 13267¹ × 109¹ × 487¹
LCM(53068,53083) = 2817008644