GCF and LCM Calculator Logo

What is the Least Common Multiple of 29778 and 29788?

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 29778 and 29788 is 443513532.

LCM(29778,29788) = 443513532

LCM Calculator and
and

Least Common Multiple of 29778 and 29788 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29778 and 29788, than apply into the LCM equation.

GCF(29778,29788) = 2
LCM(29778,29788) = ( 29778 × 29788) / 2
LCM(29778,29788) = 887027064 / 2
LCM(29778,29788) = 443513532

Least Common Multiple (LCM) of 29778 and 29788 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29778 and 29788. First we will calculate the prime factors of 29778 and 29788.

Prime Factorization of 29778

Prime factors of 29778 are 2, 3, 7, 709. Prime factorization of 29778 in exponential form is:

29778 = 21 × 31 × 71 × 7091

Prime Factorization of 29788

Prime factors of 29788 are 2, 11, 677. Prime factorization of 29788 in exponential form is:

29788 = 22 × 111 × 6771

Now multiplying the highest exponent prime factors to calculate the LCM of 29778 and 29788.

LCM(29778,29788) = 22 × 31 × 71 × 7091 × 111 × 6771
LCM(29778,29788) = 443513532