What is the Least Common Multiple of 38684 and 38696?

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 38684 and 38696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38684 and 38696, than apply into the LCM equation.

GCF(38684,38696) = 4
LCM(38684,38696) = ( 38684 × 38696) / 4
LCM(38684,38696) = 1496916064 / 4
LCM(38684,38696) = 374229016

Least Common Multiple (LCM) of 38684 and 38696 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38684 and 38696. First we will calculate the prime factors of 38684 and 38696.

Prime Factorization of 38684

Prime Factorization of 38696

Now multiplying the highest exponent prime factors to calculate the LCM of 38684 and 38696.

LCM(38684,38696) = 2³ × 19¹ × 509¹ × 7¹ × 691¹
LCM(38684,38696) = 374229016