What is the Least Common Multiple of 27760 and 27774?

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 27760 and 27774 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27760 and 27774, than apply into the LCM equation.

GCF(27760,27774) = 2
LCM(27760,27774) = ( 27760 × 27774) / 2
LCM(27760,27774) = 771006240 / 2
LCM(27760,27774) = 385503120

Least Common Multiple (LCM) of 27760 and 27774 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27760 and 27774. First we will calculate the prime factors of 27760 and 27774.

Prime Factorization of 27760

Prime Factorization of 27774

Now multiplying the highest exponent prime factors to calculate the LCM of 27760 and 27774.

LCM(27760,27774) = 2⁴ × 5¹ × 347¹ × 3² × 1543¹
LCM(27760,27774) = 385503120