What is the Least Common Multiple of 27578 and 27596?

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 27578 and 27596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27578 and 27596, than apply into the LCM equation.

GCF(27578,27596) = 2
LCM(27578,27596) = ( 27578 × 27596) / 2
LCM(27578,27596) = 761042488 / 2
LCM(27578,27596) = 380521244

Least Common Multiple (LCM) of 27578 and 27596 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27578 and 27596. First we will calculate the prime factors of 27578 and 27596.

Prime Factorization of 27578

Prime Factorization of 27596

Now multiplying the highest exponent prime factors to calculate the LCM of 27578 and 27596.

LCM(27578,27596) = 2² × 13789¹ × 6899¹
LCM(27578,27596) = 380521244