What is the Least Common Multiple of 27069 and 27076?

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 27069 and 27076 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27069 and 27076, than apply into the LCM equation.

GCF(27069,27076) = 7
LCM(27069,27076) = ( 27069 × 27076) / 7
LCM(27069,27076) = 732920244 / 7
LCM(27069,27076) = 104702892

Least Common Multiple (LCM) of 27069 and 27076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27069 and 27076. First we will calculate the prime factors of 27069 and 27076.

Prime Factorization of 27069

Prime Factorization of 27076

Now multiplying the highest exponent prime factors to calculate the LCM of 27069 and 27076.

LCM(27069,27076) = 3¹ × 7¹ × 1289¹ × 2² × 967¹
LCM(27069,27076) = 104702892