What is the Least Common Multiple of 38604 and 38614?

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 38604 and 38614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38604 and 38614, than apply into the LCM equation.

GCF(38604,38614) = 2
LCM(38604,38614) = ( 38604 × 38614) / 2
LCM(38604,38614) = 1490654856 / 2
LCM(38604,38614) = 745327428

Least Common Multiple (LCM) of 38604 and 38614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38604 and 38614. First we will calculate the prime factors of 38604 and 38614.

Prime Factorization of 38604

Prime Factorization of 38614

Now multiplying the highest exponent prime factors to calculate the LCM of 38604 and 38614.

LCM(38604,38614) = 2² × 3¹ × 3217¹ × 43¹ × 449¹
LCM(38604,38614) = 745327428