What is the Least Common Multiple of 77928 and 77940?

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 77928 and 77940 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77928 and 77940, than apply into the LCM equation.

GCF(77928,77940) = 12
LCM(77928,77940) = ( 77928 × 77940) / 12
LCM(77928,77940) = 6073708320 / 12
LCM(77928,77940) = 506142360

Least Common Multiple (LCM) of 77928 and 77940 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77928 and 77940. First we will calculate the prime factors of 77928 and 77940.

Prime Factorization of 77928

Prime Factorization of 77940

Now multiplying the highest exponent prime factors to calculate the LCM of 77928 and 77940.

LCM(77928,77940) = 2³ × 3² × 17¹ × 191¹ × 5¹ × 433¹
LCM(77928,77940) = 506142360