GCF and LCM Calculator Logo

What is the Least Common Multiple of 620 and 634?

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 620 and 634 is 196540.

LCM(620,634) = 196540

LCM Calculator and
and

Least Common Multiple of 620 and 634 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 620 and 634, than apply into the LCM equation.

GCF(620,634) = 2
LCM(620,634) = ( 620 × 634) / 2
LCM(620,634) = 393080 / 2
LCM(620,634) = 196540

Least Common Multiple (LCM) of 620 and 634 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 620 and 634. First we will calculate the prime factors of 620 and 634.

Prime Factorization of 620

Prime factors of 620 are 2, 5, 31. Prime factorization of 620 in exponential form is:

620 = 22 × 51 × 311

Prime Factorization of 634

Prime factors of 634 are 2, 317. Prime factorization of 634 in exponential form is:

634 = 21 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 620 and 634.

LCM(620,634) = 22 × 51 × 311 × 3171
LCM(620,634) = 196540