GCF and LCM Calculator Logo

What is the Least Common Multiple of 1732 and 1752?

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 1732 and 1752 is 758616.

LCM(1732,1752) = 758616

LCM Calculator and
and

Least Common Multiple of 1732 and 1752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1732 and 1752, than apply into the LCM equation.

GCF(1732,1752) = 4
LCM(1732,1752) = ( 1732 × 1752) / 4
LCM(1732,1752) = 3034464 / 4
LCM(1732,1752) = 758616

Least Common Multiple (LCM) of 1732 and 1752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1732 and 1752. First we will calculate the prime factors of 1732 and 1752.

Prime Factorization of 1732

Prime factors of 1732 are 2, 433. Prime factorization of 1732 in exponential form is:

1732 = 22 × 4331

Prime Factorization of 1752

Prime factors of 1752 are 2, 3, 73. Prime factorization of 1752 in exponential form is:

1752 = 23 × 31 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 1732 and 1752.

LCM(1732,1752) = 23 × 4331 × 31 × 731
LCM(1732,1752) = 758616