What is the Least Common Multiple of 27774 and 27789?

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 27774 and 27789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27774 and 27789, than apply into the LCM equation.

GCF(27774,27789) = 3
LCM(27774,27789) = ( 27774 × 27789) / 3
LCM(27774,27789) = 771811686 / 3
LCM(27774,27789) = 257270562

Least Common Multiple (LCM) of 27774 and 27789 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27774 and 27789. First we will calculate the prime factors of 27774 and 27789.

Prime Factorization of 27774

Prime Factorization of 27789

Now multiplying the highest exponent prime factors to calculate the LCM of 27774 and 27789.

LCM(27774,27789) = 2¹ × 3² × 1543¹ × 59¹ × 157¹
LCM(27774,27789) = 257270562