GCF and LCM Calculator Logo

What is the Least Common Multiple of 1739 and 1755?

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 1739 and 1755 is 3051945.

LCM(1739,1755) = 3051945

LCM Calculator and
and

Least Common Multiple of 1739 and 1755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1739 and 1755, than apply into the LCM equation.

GCF(1739,1755) = 1
LCM(1739,1755) = ( 1739 × 1755) / 1
LCM(1739,1755) = 3051945 / 1
LCM(1739,1755) = 3051945

Least Common Multiple (LCM) of 1739 and 1755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1739 and 1755. First we will calculate the prime factors of 1739 and 1755.

Prime Factorization of 1739

Prime factors of 1739 are 37, 47. Prime factorization of 1739 in exponential form is:

1739 = 371 × 471

Prime Factorization of 1755

Prime factors of 1755 are 3, 5, 13. Prime factorization of 1755 in exponential form is:

1755 = 33 × 51 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 1739 and 1755.

LCM(1739,1755) = 371 × 471 × 33 × 51 × 131
LCM(1739,1755) = 3051945