What is the Least Common Multiple of 38574 and 38584?

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 38584 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 38584, than apply into the LCM equation.

GCF(38574,38584) = 2
LCM(38574,38584) = ( 38574 × 38584) / 2
LCM(38574,38584) = 1488339216 / 2
LCM(38574,38584) = 744169608

Least Common Multiple (LCM) of 38574 and 38584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38574 and 38584. First we will calculate the prime factors of 38574 and 38584.

Prime Factorization of 38574

Prime Factorization of 38584

Now multiplying the highest exponent prime factors to calculate the LCM of 38574 and 38584.

LCM(38574,38584) = 2³ × 3² × 2143¹ × 7¹ × 13¹ × 53¹
LCM(38574,38584) = 744169608