What is the Least Common Multiple of 27760 and 27771?

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 27771 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 27771, than apply into the LCM equation.

GCF(27760,27771) = 1
LCM(27760,27771) = ( 27760 × 27771) / 1
LCM(27760,27771) = 770922960 / 1
LCM(27760,27771) = 770922960

Least Common Multiple (LCM) of 27760 and 27771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27760 and 27771. First we will calculate the prime factors of 27760 and 27771.

Prime Factorization of 27760

Prime Factorization of 27771

Now multiplying the highest exponent prime factors to calculate the LCM of 27760 and 27771.

LCM(27760,27771) = 2⁴ × 5¹ × 347¹ × 3¹ × 9257¹
LCM(27760,27771) = 770922960