What is the Least Common Multiple of 27810 and 27820?

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 27810 and 27820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27810 and 27820, than apply into the LCM equation.

GCF(27810,27820) = 10
LCM(27810,27820) = ( 27810 × 27820) / 10
LCM(27810,27820) = 773674200 / 10
LCM(27810,27820) = 77367420

Least Common Multiple (LCM) of 27810 and 27820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27810 and 27820. First we will calculate the prime factors of 27810 and 27820.

Prime Factorization of 27810

Prime Factorization of 27820

Now multiplying the highest exponent prime factors to calculate the LCM of 27810 and 27820.

LCM(27810,27820) = 2² × 3³ × 5¹ × 103¹ × 13¹ × 107¹
LCM(27810,27820) = 77367420