What is the Least Common Multiple of 42517 and 42534?

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 42517 and 42534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42517 and 42534, than apply into the LCM equation.

GCF(42517,42534) = 17
LCM(42517,42534) = ( 42517 × 42534) / 17
LCM(42517,42534) = 1808418078 / 17
LCM(42517,42534) = 106377534

Least Common Multiple (LCM) of 42517 and 42534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42517 and 42534. First we will calculate the prime factors of 42517 and 42534.

Prime Factorization of 42517

Prime Factorization of 42534

Now multiplying the highest exponent prime factors to calculate the LCM of 42517 and 42534.

LCM(42517,42534) = 17¹ × 41¹ × 61¹ × 2¹ × 3² × 139¹
LCM(42517,42534) = 106377534