What is the Least Common Multiple of 11920 and 11928?

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 11920 and 11928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11920 and 11928, than apply into the LCM equation.

GCF(11920,11928) = 8
LCM(11920,11928) = ( 11920 × 11928) / 8
LCM(11920,11928) = 142181760 / 8
LCM(11920,11928) = 17772720

Least Common Multiple (LCM) of 11920 and 11928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11920 and 11928. First we will calculate the prime factors of 11920 and 11928.

Prime Factorization of 11920

Prime Factorization of 11928

Now multiplying the highest exponent prime factors to calculate the LCM of 11920 and 11928.

LCM(11920,11928) = 2⁴ × 5¹ × 149¹ × 3¹ × 7¹ × 71¹
LCM(11920,11928) = 17772720