What is the Least Common Multiple of 11760 and 11780?

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 11760 and 11780 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11760 and 11780, than apply into the LCM equation.

GCF(11760,11780) = 20
LCM(11760,11780) = ( 11760 × 11780) / 20
LCM(11760,11780) = 138532800 / 20
LCM(11760,11780) = 6926640

Least Common Multiple (LCM) of 11760 and 11780 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11760 and 11780. First we will calculate the prime factors of 11760 and 11780.

Prime Factorization of 11760

Prime Factorization of 11780

Now multiplying the highest exponent prime factors to calculate the LCM of 11760 and 11780.

LCM(11760,11780) = 2⁴ × 3¹ × 5¹ × 7² × 19¹ × 31¹
LCM(11760,11780) = 6926640