What is the Least Common Multiple of 38517 and 38523?

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 38517 and 38523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38517 and 38523, than apply into the LCM equation.

GCF(38517,38523) = 3
LCM(38517,38523) = ( 38517 × 38523) / 3
LCM(38517,38523) = 1483790391 / 3
LCM(38517,38523) = 494596797

Least Common Multiple (LCM) of 38517 and 38523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38517 and 38523. First we will calculate the prime factors of 38517 and 38523.

Prime Factorization of 38517

Prime Factorization of 38523

Now multiplying the highest exponent prime factors to calculate the LCM of 38517 and 38523.

LCM(38517,38523) = 3¹ × 37¹ × 347¹ × 12841¹
LCM(38517,38523) = 494596797