What is the Least Common Multiple of 76524 and 76530?

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 76524 and 76530 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76524 and 76530, than apply into the LCM equation.

GCF(76524,76530) = 6
LCM(76524,76530) = ( 76524 × 76530) / 6
LCM(76524,76530) = 5856381720 / 6
LCM(76524,76530) = 976063620

Least Common Multiple (LCM) of 76524 and 76530 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76524 and 76530. First we will calculate the prime factors of 76524 and 76530.

Prime Factorization of 76524

Prime Factorization of 76530

Now multiplying the highest exponent prime factors to calculate the LCM of 76524 and 76530.

LCM(76524,76530) = 2² × 3¹ × 7¹ × 911¹ × 5¹ × 2551¹
LCM(76524,76530) = 976063620