GCF and LCM Calculator Logo

What is the Least Common Multiple of 3850 and 3858?

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 (LCM) of 3850 and 3858 is 7426650.

LCM(3850,3858) = 7426650

LCM Calculator and
and

Least Common Multiple of 3850 and 3858 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3850 and 3858, than apply into the LCM equation.

GCF(3850,3858) = 2
LCM(3850,3858) = ( 3850 × 3858) / 2
LCM(3850,3858) = 14853300 / 2
LCM(3850,3858) = 7426650

Least Common Multiple (LCM) of 3850 and 3858 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3850 and 3858. First we will calculate the prime factors of 3850 and 3858.

Prime Factorization of 3850

Prime factors of 3850 are 2, 5, 7, 11. Prime factorization of 3850 in exponential form is:

3850 = 21 × 52 × 71 × 111

Prime Factorization of 3858

Prime factors of 3858 are 2, 3, 643. Prime factorization of 3858 in exponential form is:

3858 = 21 × 31 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 3850 and 3858.

LCM(3850,3858) = 21 × 52 × 71 × 111 × 31 × 6431
LCM(3850,3858) = 7426650