What is the Least Common Multiple of 27936 and 27945?

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 27936 and 27945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27936 and 27945, than apply into the LCM equation.

GCF(27936,27945) = 9
LCM(27936,27945) = ( 27936 × 27945) / 9
LCM(27936,27945) = 780671520 / 9
LCM(27936,27945) = 86741280

Least Common Multiple (LCM) of 27936 and 27945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27936 and 27945. First we will calculate the prime factors of 27936 and 27945.

Prime Factorization of 27936

Prime Factorization of 27945

Now multiplying the highest exponent prime factors to calculate the LCM of 27936 and 27945.

LCM(27936,27945) = 2⁵ × 3⁵ × 97¹ × 5¹ × 23¹
LCM(27936,27945) = 86741280