What is the Least Common Multiple of 36498 and 36511?

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 36498 and 36511 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36498 and 36511, than apply into the LCM equation.

GCF(36498,36511) = 1
LCM(36498,36511) = ( 36498 × 36511) / 1
LCM(36498,36511) = 1332578478 / 1
LCM(36498,36511) = 1332578478

Least Common Multiple (LCM) of 36498 and 36511 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36498 and 36511. First we will calculate the prime factors of 36498 and 36511.

Prime Factorization of 36498

Prime Factorization of 36511

Now multiplying the highest exponent prime factors to calculate the LCM of 36498 and 36511.

LCM(36498,36511) = 2¹ × 3¹ × 7¹ × 11¹ × 79¹ × 29¹ × 1259¹
LCM(36498,36511) = 1332578478