What is the Least Common Multiple of 36523 and 36534?

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 36523 and 36534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36523 and 36534, than apply into the LCM equation.

GCF(36523,36534) = 1
LCM(36523,36534) = ( 36523 × 36534) / 1
LCM(36523,36534) = 1334331282 / 1
LCM(36523,36534) = 1334331282

Least Common Multiple (LCM) of 36523 and 36534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36523 and 36534. First we will calculate the prime factors of 36523 and 36534.

Prime Factorization of 36523

Prime Factorization of 36534

Now multiplying the highest exponent prime factors to calculate the LCM of 36523 and 36534.

LCM(36523,36534) = 36523¹ × 2¹ × 3¹ × 6089¹
LCM(36523,36534) = 1334331282