What is the Least Common Multiple of 27614 and 27630?

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 27614 and 27630 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27614 and 27630, than apply into the LCM equation.

GCF(27614,27630) = 2
LCM(27614,27630) = ( 27614 × 27630) / 2
LCM(27614,27630) = 762974820 / 2
LCM(27614,27630) = 381487410

Least Common Multiple (LCM) of 27614 and 27630 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27614 and 27630. First we will calculate the prime factors of 27614 and 27630.

Prime Factorization of 27614

Prime Factorization of 27630

Now multiplying the highest exponent prime factors to calculate the LCM of 27614 and 27630.

LCM(27614,27630) = 2¹ × 13807¹ × 3² × 5¹ × 307¹
LCM(27614,27630) = 381487410