GCF and LCM Calculator Logo

What is the Least Common Multiple of 18761 and 18778?

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 18761 and 18778 is 352294058.

LCM(18761,18778) = 352294058

LCM Calculator and
and

Least Common Multiple of 18761 and 18778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18761 and 18778, than apply into the LCM equation.

GCF(18761,18778) = 1
LCM(18761,18778) = ( 18761 × 18778) / 1
LCM(18761,18778) = 352294058 / 1
LCM(18761,18778) = 352294058

Least Common Multiple (LCM) of 18761 and 18778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18761 and 18778. First we will calculate the prime factors of 18761 and 18778.

Prime Factorization of 18761

Prime factors of 18761 are 73, 257. Prime factorization of 18761 in exponential form is:

18761 = 731 × 2571

Prime Factorization of 18778

Prime factors of 18778 are 2, 41, 229. Prime factorization of 18778 in exponential form is:

18778 = 21 × 411 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 18761 and 18778.

LCM(18761,18778) = 731 × 2571 × 21 × 411 × 2291
LCM(18761,18778) = 352294058