What is the Least Common Multiple of 27608 and 27622?

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 27608 and 27622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27608 and 27622, than apply into the LCM equation.

GCF(27608,27622) = 14
LCM(27608,27622) = ( 27608 × 27622) / 14
LCM(27608,27622) = 762588176 / 14
LCM(27608,27622) = 54470584

Least Common Multiple (LCM) of 27608 and 27622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27608 and 27622. First we will calculate the prime factors of 27608 and 27622.

Prime Factorization of 27608

Prime Factorization of 27622

Now multiplying the highest exponent prime factors to calculate the LCM of 27608 and 27622.

LCM(27608,27622) = 2³ × 7¹ × 17¹ × 29¹ × 1973¹
LCM(27608,27622) = 54470584