What is the Least Common Multiple of 27780 and 27800?

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 27780 and 27800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27780 and 27800, than apply into the LCM equation.

GCF(27780,27800) = 20
LCM(27780,27800) = ( 27780 × 27800) / 20
LCM(27780,27800) = 772284000 / 20
LCM(27780,27800) = 38614200

Least Common Multiple (LCM) of 27780 and 27800 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27780 and 27800. First we will calculate the prime factors of 27780 and 27800.

Prime Factorization of 27780

Prime Factorization of 27800

Now multiplying the highest exponent prime factors to calculate the LCM of 27780 and 27800.

LCM(27780,27800) = 2³ × 3¹ × 5² × 463¹ × 139¹
LCM(27780,27800) = 38614200