GCF and LCM Calculator Logo

What is the Least Common Multiple of 17759 and 17773?

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 17759 and 17773 is 45090101.

LCM(17759,17773) = 45090101

LCM Calculator and
and

Least Common Multiple of 17759 and 17773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17759 and 17773, than apply into the LCM equation.

GCF(17759,17773) = 7
LCM(17759,17773) = ( 17759 × 17773) / 7
LCM(17759,17773) = 315630707 / 7
LCM(17759,17773) = 45090101

Least Common Multiple (LCM) of 17759 and 17773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17759 and 17773. First we will calculate the prime factors of 17759 and 17773.

Prime Factorization of 17759

Prime factors of 17759 are 7, 43, 59. Prime factorization of 17759 in exponential form is:

17759 = 71 × 431 × 591

Prime Factorization of 17773

Prime factors of 17773 are 7, 2539. Prime factorization of 17773 in exponential form is:

17773 = 71 × 25391

Now multiplying the highest exponent prime factors to calculate the LCM of 17759 and 17773.

LCM(17759,17773) = 71 × 431 × 591 × 25391
LCM(17759,17773) = 45090101