What is the Least Common Multiple of 38574 and 38585?

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 38574 and 38585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38574 and 38585, than apply into the LCM equation.

GCF(38574,38585) = 1
LCM(38574,38585) = ( 38574 × 38585) / 1
LCM(38574,38585) = 1488377790 / 1
LCM(38574,38585) = 1488377790

Least Common Multiple (LCM) of 38574 and 38585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38574 and 38585. First we will calculate the prime factors of 38574 and 38585.

Prime Factorization of 38574

Prime Factorization of 38585

Now multiplying the highest exponent prime factors to calculate the LCM of 38574 and 38585.

LCM(38574,38585) = 2¹ × 3² × 2143¹ × 5¹ × 7717¹
LCM(38574,38585) = 1488377790