What is the Least Common Multiple of 36506 and 36526?

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 36506 and 36526 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36506 and 36526, than apply into the LCM equation.

GCF(36506,36526) = 2
LCM(36506,36526) = ( 36506 × 36526) / 2
LCM(36506,36526) = 1333418156 / 2
LCM(36506,36526) = 666709078

Least Common Multiple (LCM) of 36506 and 36526 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36506 and 36526. First we will calculate the prime factors of 36506 and 36526.

Prime Factorization of 36506

Prime Factorization of 36526

Now multiplying the highest exponent prime factors to calculate the LCM of 36506 and 36526.

LCM(36506,36526) = 2¹ × 18253¹ × 7¹ × 2609¹
LCM(36506,36526) = 666709078