What is the Least Common Multiple of 27792 and 27812?

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 27792 and 27812 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27792 and 27812, than apply into the LCM equation.

GCF(27792,27812) = 4
LCM(27792,27812) = ( 27792 × 27812) / 4
LCM(27792,27812) = 772951104 / 4
LCM(27792,27812) = 193237776

Least Common Multiple (LCM) of 27792 and 27812 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27792 and 27812. First we will calculate the prime factors of 27792 and 27812.

Prime Factorization of 27792

Prime Factorization of 27812

Now multiplying the highest exponent prime factors to calculate the LCM of 27792 and 27812.

LCM(27792,27812) = 2⁴ × 3² × 193¹ × 17¹ × 409¹
LCM(27792,27812) = 193237776