What is the Least Common Multiple of 9492 and 9510?

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 9492 and 9510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9492 and 9510, than apply into the LCM equation.

GCF(9492,9510) = 6
LCM(9492,9510) = ( 9492 × 9510) / 6
LCM(9492,9510) = 90268920 / 6
LCM(9492,9510) = 15044820

Least Common Multiple (LCM) of 9492 and 9510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9492 and 9510. First we will calculate the prime factors of 9492 and 9510.

Prime Factorization of 9492

Prime Factorization of 9510

Now multiplying the highest exponent prime factors to calculate the LCM of 9492 and 9510.

LCM(9492,9510) = 2² × 3¹ × 7¹ × 113¹ × 5¹ × 317¹
LCM(9492,9510) = 15044820