What is the Least Common Multiple of 85510 and 85517?

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 85510 and 85517 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85510 and 85517, than apply into the LCM equation.

GCF(85510,85517) = 1
LCM(85510,85517) = ( 85510 × 85517) / 1
LCM(85510,85517) = 7312558670 / 1
LCM(85510,85517) = 7312558670

Least Common Multiple (LCM) of 85510 and 85517 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85510 and 85517. First we will calculate the prime factors of 85510 and 85517.

Prime Factorization of 85510

Prime Factorization of 85517

Now multiplying the highest exponent prime factors to calculate the LCM of 85510 and 85517.

LCM(85510,85517) = 2¹ × 5¹ × 17¹ × 503¹ × 85517¹
LCM(85510,85517) = 7312558670