GCF and LCM Calculator Logo

What is the Least Common Multiple of 738 and 745?

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 738 and 745 is 549810.

LCM(738,745) = 549810

LCM Calculator and
and

Least Common Multiple of 738 and 745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 738 and 745, than apply into the LCM equation.

GCF(738,745) = 1
LCM(738,745) = ( 738 × 745) / 1
LCM(738,745) = 549810 / 1
LCM(738,745) = 549810

Least Common Multiple (LCM) of 738 and 745 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 738 and 745. First we will calculate the prime factors of 738 and 745.

Prime Factorization of 738

Prime factors of 738 are 2, 3, 41. Prime factorization of 738 in exponential form is:

738 = 21 × 32 × 411

Prime Factorization of 745

Prime factors of 745 are 5, 149. Prime factorization of 745 in exponential form is:

745 = 51 × 1491

Now multiplying the highest exponent prime factors to calculate the LCM of 738 and 745.

LCM(738,745) = 21 × 32 × 411 × 51 × 1491
LCM(738,745) = 549810