What is the Least Common Multiple of 38520 and 38538?

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 38520 and 38538 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38520 and 38538, than apply into the LCM equation.

GCF(38520,38538) = 18
LCM(38520,38538) = ( 38520 × 38538) / 18
LCM(38520,38538) = 1484483760 / 18
LCM(38520,38538) = 82471320

Least Common Multiple (LCM) of 38520 and 38538 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38520 and 38538. First we will calculate the prime factors of 38520 and 38538.

Prime Factorization of 38520

Prime Factorization of 38538

Now multiplying the highest exponent prime factors to calculate the LCM of 38520 and 38538.

LCM(38520,38538) = 2³ × 3² × 5¹ × 107¹ × 2141¹
LCM(38520,38538) = 82471320