What is the Least Common Multiple of 3892 and 3900?

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 3892 and 3900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3892 and 3900, than apply into the LCM equation.

GCF(3892,3900) = 4
LCM(3892,3900) = ( 3892 × 3900) / 4
LCM(3892,3900) = 15178800 / 4
LCM(3892,3900) = 3794700

Least Common Multiple (LCM) of 3892 and 3900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3892 and 3900. First we will calculate the prime factors of 3892 and 3900.

Prime Factorization of 3892

Prime Factorization of 3900

Now multiplying the highest exponent prime factors to calculate the LCM of 3892 and 3900.

LCM(3892,3900) = 2² × 7¹ × 139¹ × 3¹ × 5² × 13¹
LCM(3892,3900) = 3794700