What is the Least Common Multiple of 27710 and 27720?

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 27710 and 27720 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27710 and 27720, than apply into the LCM equation.

GCF(27710,27720) = 10
LCM(27710,27720) = ( 27710 × 27720) / 10
LCM(27710,27720) = 768121200 / 10
LCM(27710,27720) = 76812120

Least Common Multiple (LCM) of 27710 and 27720 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27710 and 27720. First we will calculate the prime factors of 27710 and 27720.

Prime Factorization of 27710

Prime Factorization of 27720

Now multiplying the highest exponent prime factors to calculate the LCM of 27710 and 27720.

LCM(27710,27720) = 2³ × 5¹ × 17¹ × 163¹ × 3² × 7¹ × 11¹
LCM(27710,27720) = 76812120