What is the Least Common Multiple of 3846 and 3865?

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 3846 and 3865 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3846 and 3865, than apply into the LCM equation.

GCF(3846,3865) = 1
LCM(3846,3865) = ( 3846 × 3865) / 1
LCM(3846,3865) = 14864790 / 1
LCM(3846,3865) = 14864790

Least Common Multiple (LCM) of 3846 and 3865 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3846 and 3865. First we will calculate the prime factors of 3846 and 3865.

Prime Factorization of 3846

Prime Factorization of 3865

Now multiplying the highest exponent prime factors to calculate the LCM of 3846 and 3865.

LCM(3846,3865) = 2¹ × 3¹ × 641¹ × 5¹ × 773¹
LCM(3846,3865) = 14864790