What is the Least Common Multiple of 8502 and 8512?

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 8502 and 8512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8502 and 8512, than apply into the LCM equation.

GCF(8502,8512) = 2
LCM(8502,8512) = ( 8502 × 8512) / 2
LCM(8502,8512) = 72369024 / 2
LCM(8502,8512) = 36184512

Least Common Multiple (LCM) of 8502 and 8512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8502 and 8512. First we will calculate the prime factors of 8502 and 8512.

Prime Factorization of 8502

Prime Factorization of 8512

Now multiplying the highest exponent prime factors to calculate the LCM of 8502 and 8512.

LCM(8502,8512) = 2⁶ × 3¹ × 13¹ × 109¹ × 7¹ × 19¹
LCM(8502,8512) = 36184512