What is the Least Common Multiple of 3874 and 3886?

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 3874 and 3886 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3874 and 3886, than apply into the LCM equation.

GCF(3874,3886) = 2
LCM(3874,3886) = ( 3874 × 3886) / 2
LCM(3874,3886) = 15054364 / 2
LCM(3874,3886) = 7527182

Least Common Multiple (LCM) of 3874 and 3886 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3874 and 3886. First we will calculate the prime factors of 3874 and 3886.

Prime Factorization of 3874

Prime Factorization of 3886

Now multiplying the highest exponent prime factors to calculate the LCM of 3874 and 3886.

LCM(3874,3886) = 2¹ × 13¹ × 149¹ × 29¹ × 67¹
LCM(3874,3886) = 7527182