GCF and LCM Calculator Logo

What is the Least Common Multiple of 3902 and 3922?

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 3902 and 3922 is 7651822.

LCM(3902,3922) = 7651822

LCM Calculator and
and

Least Common Multiple of 3902 and 3922 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3902 and 3922, than apply into the LCM equation.

GCF(3902,3922) = 2
LCM(3902,3922) = ( 3902 × 3922) / 2
LCM(3902,3922) = 15303644 / 2
LCM(3902,3922) = 7651822

Least Common Multiple (LCM) of 3902 and 3922 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3902 and 3922. First we will calculate the prime factors of 3902 and 3922.

Prime Factorization of 3902

Prime factors of 3902 are 2, 1951. Prime factorization of 3902 in exponential form is:

3902 = 21 × 19511

Prime Factorization of 3922

Prime factors of 3922 are 2, 37, 53. Prime factorization of 3922 in exponential form is:

3922 = 21 × 371 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 3902 and 3922.

LCM(3902,3922) = 21 × 19511 × 371 × 531
LCM(3902,3922) = 7651822