What is the Least Common Multiple of 77064 and 77083?

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 77064 and 77083 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77064 and 77083, than apply into the LCM equation.

GCF(77064,77083) = 19
LCM(77064,77083) = ( 77064 × 77083) / 19
LCM(77064,77083) = 5940324312 / 19
LCM(77064,77083) = 312648648

Least Common Multiple (LCM) of 77064 and 77083 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77064 and 77083. First we will calculate the prime factors of 77064 and 77083.

Prime Factorization of 77064

Prime Factorization of 77083

Now multiplying the highest exponent prime factors to calculate the LCM of 77064 and 77083.

LCM(77064,77083) = 2³ × 3¹ × 13² × 19¹ × 4057¹
LCM(77064,77083) = 312648648