What is the Least Common Multiple of 8490 and 8510?

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 8490 and 8510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8490 and 8510, than apply into the LCM equation.

GCF(8490,8510) = 10
LCM(8490,8510) = ( 8490 × 8510) / 10
LCM(8490,8510) = 72249900 / 10
LCM(8490,8510) = 7224990

Least Common Multiple (LCM) of 8490 and 8510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8490 and 8510. First we will calculate the prime factors of 8490 and 8510.

Prime Factorization of 8490

Prime Factorization of 8510

Now multiplying the highest exponent prime factors to calculate the LCM of 8490 and 8510.

LCM(8490,8510) = 2¹ × 3¹ × 5¹ × 283¹ × 23¹ × 37¹
LCM(8490,8510) = 7224990