What is the Least Common Multiple of 38509 and 38520?

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 38509 and 38520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38509 and 38520, than apply into the LCM equation.

GCF(38509,38520) = 1
LCM(38509,38520) = ( 38509 × 38520) / 1
LCM(38509,38520) = 1483366680 / 1
LCM(38509,38520) = 1483366680

Least Common Multiple (LCM) of 38509 and 38520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38509 and 38520. First we will calculate the prime factors of 38509 and 38520.

Prime Factorization of 38509

Prime Factorization of 38520

Now multiplying the highest exponent prime factors to calculate the LCM of 38509 and 38520.

LCM(38509,38520) = 97¹ × 397¹ × 2³ × 3² × 5¹ × 107¹
LCM(38509,38520) = 1483366680