GCF and LCM Calculator Logo

What is the Least Common Multiple of 27816 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 (LCM) of 27816 and 27820 is 193460280.

LCM(27816,27820) = 193460280

LCM Calculator and
and

Least Common Multiple of 27816 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 27816 and 27820, than apply into the LCM equation.

GCF(27816,27820) = 4
LCM(27816,27820) = ( 27816 × 27820) / 4
LCM(27816,27820) = 773841120 / 4
LCM(27816,27820) = 193460280

Least Common Multiple (LCM) of 27816 and 27820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27816 and 27820. First we will calculate the prime factors of 27816 and 27820.

Prime Factorization of 27816

Prime factors of 27816 are 2, 3, 19, 61. Prime factorization of 27816 in exponential form is:

27816 = 23 × 31 × 191 × 611

Prime Factorization of 27820

Prime factors of 27820 are 2, 5, 13, 107. Prime factorization of 27820 in exponential form is:

27820 = 22 × 51 × 131 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 27816 and 27820.

LCM(27816,27820) = 23 × 31 × 191 × 611 × 51 × 131 × 1071
LCM(27816,27820) = 193460280