What is the Least Common Multiple of 76064 and 76080?

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 76064 and 76080 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76064 and 76080, than apply into the LCM equation.

GCF(76064,76080) = 16
LCM(76064,76080) = ( 76064 × 76080) / 16
LCM(76064,76080) = 5786949120 / 16
LCM(76064,76080) = 361684320

Least Common Multiple (LCM) of 76064 and 76080 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76064 and 76080. First we will calculate the prime factors of 76064 and 76080.

Prime Factorization of 76064

Prime Factorization of 76080

Now multiplying the highest exponent prime factors to calculate the LCM of 76064 and 76080.

LCM(76064,76080) = 2⁵ × 2377¹ × 3¹ × 5¹ × 317¹
LCM(76064,76080) = 361684320