What is the Least Common Multiple of 27630 and 27648?

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 27630 and 27648 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27630 and 27648, than apply into the LCM equation.

GCF(27630,27648) = 18
LCM(27630,27648) = ( 27630 × 27648) / 18
LCM(27630,27648) = 763914240 / 18
LCM(27630,27648) = 42439680

Least Common Multiple (LCM) of 27630 and 27648 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27630 and 27648. First we will calculate the prime factors of 27630 and 27648.

Prime Factorization of 27630

Prime Factorization of 27648

Now multiplying the highest exponent prime factors to calculate the LCM of 27630 and 27648.

LCM(27630,27648) = 2¹⁰ × 3³ × 5¹ × 307¹
LCM(27630,27648) = 42439680