What is the Least Common Multiple of 36528 and 36540?

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 36528 and 36540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36528 and 36540, than apply into the LCM equation.

GCF(36528,36540) = 12
LCM(36528,36540) = ( 36528 × 36540) / 12
LCM(36528,36540) = 1334733120 / 12
LCM(36528,36540) = 111227760

Least Common Multiple (LCM) of 36528 and 36540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36528 and 36540. First we will calculate the prime factors of 36528 and 36540.

Prime Factorization of 36528

Prime Factorization of 36540

Now multiplying the highest exponent prime factors to calculate the LCM of 36528 and 36540.

LCM(36528,36540) = 2⁴ × 3² × 761¹ × 5¹ × 7¹ × 29¹
LCM(36528,36540) = 111227760