GCF and LCM Calculator Logo

What is the Least Common Multiple of 1630 and 1635?

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 1630 and 1635 is 533010.

LCM(1630,1635) = 533010

LCM Calculator and
and

Least Common Multiple of 1630 and 1635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1630 and 1635, than apply into the LCM equation.

GCF(1630,1635) = 5
LCM(1630,1635) = ( 1630 × 1635) / 5
LCM(1630,1635) = 2665050 / 5
LCM(1630,1635) = 533010

Least Common Multiple (LCM) of 1630 and 1635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1630 and 1635. First we will calculate the prime factors of 1630 and 1635.

Prime Factorization of 1630

Prime factors of 1630 are 2, 5, 163. Prime factorization of 1630 in exponential form is:

1630 = 21 × 51 × 1631

Prime Factorization of 1635

Prime factors of 1635 are 3, 5, 109. Prime factorization of 1635 in exponential form is:

1635 = 31 × 51 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 1630 and 1635.

LCM(1630,1635) = 21 × 51 × 1631 × 31 × 1091
LCM(1630,1635) = 533010