What is the Least Common Multiple of 11760 and 11777?

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 11777 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 11777, than apply into the LCM equation.

GCF(11760,11777) = 1
LCM(11760,11777) = ( 11760 × 11777) / 1
LCM(11760,11777) = 138497520 / 1
LCM(11760,11777) = 138497520

Least Common Multiple (LCM) of 11760 and 11777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11760 and 11777. First we will calculate the prime factors of 11760 and 11777.

Prime Factorization of 11760

Prime Factorization of 11777

Now multiplying the highest exponent prime factors to calculate the LCM of 11760 and 11777.

LCM(11760,11777) = 2⁴ × 3¹ × 5¹ × 7² × 11777¹
LCM(11760,11777) = 138497520