What is the Least Common Multiple of 56064 and 56079?

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 56064 and 56079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56064 and 56079, than apply into the LCM equation.

GCF(56064,56079) = 3
LCM(56064,56079) = ( 56064 × 56079) / 3
LCM(56064,56079) = 3144013056 / 3
LCM(56064,56079) = 1048004352

Least Common Multiple (LCM) of 56064 and 56079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56064 and 56079. First we will calculate the prime factors of 56064 and 56079.

Prime Factorization of 56064

Prime Factorization of 56079

Now multiplying the highest exponent prime factors to calculate the LCM of 56064 and 56079.

LCM(56064,56079) = 2⁸ × 3³ × 73¹ × 31¹ × 67¹
LCM(56064,56079) = 1048004352