What is the Least Common Multiple of 81510 and 81517?

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 81510 and 81517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81510 and 81517, than apply into the LCM equation.

GCF(81510,81517) = 1
LCM(81510,81517) = ( 81510 × 81517) / 1
LCM(81510,81517) = 6644450670 / 1
LCM(81510,81517) = 6644450670

Least Common Multiple (LCM) of 81510 and 81517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81510 and 81517. First we will calculate the prime factors of 81510 and 81517.

Prime Factorization of 81510

Prime Factorization of 81517

Now multiplying the highest exponent prime factors to calculate the LCM of 81510 and 81517.

LCM(81510,81517) = 2¹ × 3¹ × 5¹ × 11¹ × 13¹ × 19¹ × 81517¹
LCM(81510,81517) = 6644450670