What is the Least Common Multiple of 11920 and 11939?

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 11939 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 11939, than apply into the LCM equation.

GCF(11920,11939) = 1
LCM(11920,11939) = ( 11920 × 11939) / 1
LCM(11920,11939) = 142312880 / 1
LCM(11920,11939) = 142312880

Least Common Multiple (LCM) of 11920 and 11939 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11920 and 11939. First we will calculate the prime factors of 11920 and 11939.

Prime Factorization of 11920

Prime Factorization of 11939

Now multiplying the highest exponent prime factors to calculate the LCM of 11920 and 11939.

LCM(11920,11939) = 2⁴ × 5¹ × 149¹ × 11939¹
LCM(11920,11939) = 142312880