What is the Least Common Multiple of 19531 and 19537?

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 19531 and 19537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 19531 and 19537, than apply into the LCM equation.

GCF(19531,19537) = 1
LCM(19531,19537) = ( 19531 × 19537) / 1
LCM(19531,19537) = 381577147 / 1
LCM(19531,19537) = 381577147

Least Common Multiple (LCM) of 19531 and 19537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 19531 and 19537. First we will calculate the prime factors of 19531 and 19537.

Prime Factorization of 19531

Prime Factorization of 19537

Now multiplying the highest exponent prime factors to calculate the LCM of 19531 and 19537.

LCM(19531,19537) = 19531¹ × 7¹ × 2791¹
LCM(19531,19537) = 381577147