What is the Least Common Multiple of 38878 and 38882?

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 38878 and 38882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38878 and 38882, than apply into the LCM equation.

GCF(38878,38882) = 2
LCM(38878,38882) = ( 38878 × 38882) / 2
LCM(38878,38882) = 1511654396 / 2
LCM(38878,38882) = 755827198

Least Common Multiple (LCM) of 38878 and 38882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38878 and 38882. First we will calculate the prime factors of 38878 and 38882.

Prime Factorization of 38878

Prime Factorization of 38882

Now multiplying the highest exponent prime factors to calculate the LCM of 38878 and 38882.

LCM(38878,38882) = 2¹ × 7¹ × 2777¹ × 19441¹
LCM(38878,38882) = 755827198