GCF and LCM Calculator Logo

What is the Least Common Multiple of 29585 and 29603?

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 29585 and 29603 is 875804755.

LCM(29585,29603) = 875804755

LCM Calculator and
and

Least Common Multiple of 29585 and 29603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29585 and 29603, than apply into the LCM equation.

GCF(29585,29603) = 1
LCM(29585,29603) = ( 29585 × 29603) / 1
LCM(29585,29603) = 875804755 / 1
LCM(29585,29603) = 875804755

Least Common Multiple (LCM) of 29585 and 29603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29585 and 29603. First we will calculate the prime factors of 29585 and 29603.

Prime Factorization of 29585

Prime factors of 29585 are 5, 61, 97. Prime factorization of 29585 in exponential form is:

29585 = 51 × 611 × 971

Prime Factorization of 29603

Prime factors of 29603 are 7, 4229. Prime factorization of 29603 in exponential form is:

29603 = 71 × 42291

Now multiplying the highest exponent prime factors to calculate the LCM of 29585 and 29603.

LCM(29585,29603) = 51 × 611 × 971 × 71 × 42291
LCM(29585,29603) = 875804755