What is the Least Common Multiple of 38860 and 38878?

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 38860 and 38878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38860 and 38878, than apply into the LCM equation.

GCF(38860,38878) = 2
LCM(38860,38878) = ( 38860 × 38878) / 2
LCM(38860,38878) = 1510799080 / 2
LCM(38860,38878) = 755399540

Least Common Multiple (LCM) of 38860 and 38878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38860 and 38878. First we will calculate the prime factors of 38860 and 38878.

Prime Factorization of 38860

Prime Factorization of 38878

Now multiplying the highest exponent prime factors to calculate the LCM of 38860 and 38878.

LCM(38860,38878) = 2² × 5¹ × 29¹ × 67¹ × 7¹ × 2777¹
LCM(38860,38878) = 755399540