What is the Least Common Multiple of 11880 and 11884?

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 11880 and 11884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11880 and 11884, than apply into the LCM equation.

GCF(11880,11884) = 4
LCM(11880,11884) = ( 11880 × 11884) / 4
LCM(11880,11884) = 141181920 / 4
LCM(11880,11884) = 35295480

Least Common Multiple (LCM) of 11880 and 11884 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11880 and 11884. First we will calculate the prime factors of 11880 and 11884.

Prime Factorization of 11880

Prime Factorization of 11884

Now multiplying the highest exponent prime factors to calculate the LCM of 11880 and 11884.

LCM(11880,11884) = 2³ × 3³ × 5¹ × 11¹ × 2971¹
LCM(11880,11884) = 35295480