What is the Least Common Multiple of 51523 and 51537?

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 51523 and 51537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51523 and 51537, than apply into the LCM equation.

GCF(51523,51537) = 1
LCM(51523,51537) = ( 51523 × 51537) / 1
LCM(51523,51537) = 2655340851 / 1
LCM(51523,51537) = 2655340851

Least Common Multiple (LCM) of 51523 and 51537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51523 and 51537. First we will calculate the prime factors of 51523 and 51537.

Prime Factorization of 51523

Prime Factorization of 51537

Now multiplying the highest exponent prime factors to calculate the LCM of 51523 and 51537.

LCM(51523,51537) = 67¹ × 769¹ × 3¹ × 41¹ × 419¹
LCM(51523,51537) = 2655340851