What is the Least Common Multiple of 27760 and 27764?

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 27764 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 27764, than apply into the LCM equation.

GCF(27760,27764) = 4
LCM(27760,27764) = ( 27760 × 27764) / 4
LCM(27760,27764) = 770728640 / 4
LCM(27760,27764) = 192682160

Least Common Multiple (LCM) of 27760 and 27764 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27760 and 27764. First we will calculate the prime factors of 27760 and 27764.

Prime Factorization of 27760

Prime Factorization of 27764

Now multiplying the highest exponent prime factors to calculate the LCM of 27760 and 27764.

LCM(27760,27764) = 2⁴ × 5¹ × 347¹ × 11¹ × 631¹
LCM(27760,27764) = 192682160