What is the Least Common Multiple of 8514 and 8534?

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 8514 and 8534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8514 and 8534, than apply into the LCM equation.

GCF(8514,8534) = 2
LCM(8514,8534) = ( 8514 × 8534) / 2
LCM(8514,8534) = 72658476 / 2
LCM(8514,8534) = 36329238

Least Common Multiple (LCM) of 8514 and 8534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8514 and 8534. First we will calculate the prime factors of 8514 and 8534.

Prime Factorization of 8514

Prime Factorization of 8534

Now multiplying the highest exponent prime factors to calculate the LCM of 8514 and 8534.

LCM(8514,8534) = 2¹ × 3² × 11¹ × 43¹ × 17¹ × 251¹
LCM(8514,8534) = 36329238