What is the Least Common Multiple of 27614 and 27628?

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 27628 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 27628, than apply into the LCM equation.

GCF(27614,27628) = 2
LCM(27614,27628) = ( 27614 × 27628) / 2
LCM(27614,27628) = 762919592 / 2
LCM(27614,27628) = 381459796

Least Common Multiple (LCM) of 27614 and 27628 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27614 and 27628. First we will calculate the prime factors of 27614 and 27628.

Prime Factorization of 27614

Prime Factorization of 27628

Now multiplying the highest exponent prime factors to calculate the LCM of 27614 and 27628.

LCM(27614,27628) = 2² × 13807¹ × 6907¹
LCM(27614,27628) = 381459796