What is the Least Common Multiple of 81504 and 81510?

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 81504 and 81510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81504 and 81510, than apply into the LCM equation.

GCF(81504,81510) = 6
LCM(81504,81510) = ( 81504 × 81510) / 6
LCM(81504,81510) = 6643391040 / 6
LCM(81504,81510) = 1107231840

Least Common Multiple (LCM) of 81504 and 81510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81504 and 81510. First we will calculate the prime factors of 81504 and 81510.

Prime Factorization of 81504

Prime Factorization of 81510

Now multiplying the highest exponent prime factors to calculate the LCM of 81504 and 81510.

LCM(81504,81510) = 2⁵ × 3² × 283¹ × 5¹ × 11¹ × 13¹ × 19¹
LCM(81504,81510) = 1107231840