What is the Least Common Multiple of 3874 and 3892?

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 3892 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 3892, than apply into the LCM equation.

GCF(3874,3892) = 2
LCM(3874,3892) = ( 3874 × 3892) / 2
LCM(3874,3892) = 15077608 / 2
LCM(3874,3892) = 7538804

Least Common Multiple (LCM) of 3874 and 3892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3874 and 3892. First we will calculate the prime factors of 3874 and 3892.

Prime Factorization of 3874

Prime Factorization of 3892

Now multiplying the highest exponent prime factors to calculate the LCM of 3874 and 3892.

LCM(3874,3892) = 2² × 13¹ × 149¹ × 7¹ × 139¹
LCM(3874,3892) = 7538804