What is the Least Common Multiple of 14064 and 14072?

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 14064 and 14072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14064 and 14072, than apply into the LCM equation.

GCF(14064,14072) = 8
LCM(14064,14072) = ( 14064 × 14072) / 8
LCM(14064,14072) = 197908608 / 8
LCM(14064,14072) = 24738576

Least Common Multiple (LCM) of 14064 and 14072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14064 and 14072. First we will calculate the prime factors of 14064 and 14072.

Prime Factorization of 14064

Prime Factorization of 14072

Now multiplying the highest exponent prime factors to calculate the LCM of 14064 and 14072.

LCM(14064,14072) = 2⁴ × 3¹ × 293¹ × 1759¹
LCM(14064,14072) = 24738576