What is the Least Common Multiple of 33777 and 33789?

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 of 33777 and 33789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33777 and 33789, than apply into the LCM equation.

GCF(33777,33789) = 3
LCM(33777,33789) = ( 33777 × 33789) / 3
LCM(33777,33789) = 1141291053 / 3
LCM(33777,33789) = 380430351

Least Common Multiple (LCM) of 33777 and 33789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33777 and 33789. First we will calculate the prime factors of 33777 and 33789.

Prime Factorization of 33777

Prime Factorization of 33789

Now multiplying the highest exponent prime factors to calculate the LCM of 33777 and 33789.

LCM(33777,33789) = 3⁵ × 139¹ × 7¹ × 1609¹
LCM(33777,33789) = 380430351