GCF and LCM Calculator Logo

What is the Least Common Multiple of 17740 and 17754?

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 17740 and 17754 is 157477980.

LCM(17740,17754) = 157477980

LCM Calculator and
and

Least Common Multiple of 17740 and 17754 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17740 and 17754, than apply into the LCM equation.

GCF(17740,17754) = 2
LCM(17740,17754) = ( 17740 × 17754) / 2
LCM(17740,17754) = 314955960 / 2
LCM(17740,17754) = 157477980

Least Common Multiple (LCM) of 17740 and 17754 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17740 and 17754. First we will calculate the prime factors of 17740 and 17754.

Prime Factorization of 17740

Prime factors of 17740 are 2, 5, 887. Prime factorization of 17740 in exponential form is:

17740 = 22 × 51 × 8871

Prime Factorization of 17754

Prime factors of 17754 are 2, 3, 11, 269. Prime factorization of 17754 in exponential form is:

17754 = 21 × 31 × 111 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 17740 and 17754.

LCM(17740,17754) = 22 × 51 × 8871 × 31 × 111 × 2691
LCM(17740,17754) = 157477980