What is the Least Common Multiple of 5064 and 5072?

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 5064 and 5072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5064 and 5072, than apply into the LCM equation.

GCF(5064,5072) = 8
LCM(5064,5072) = ( 5064 × 5072) / 8
LCM(5064,5072) = 25684608 / 8
LCM(5064,5072) = 3210576

Least Common Multiple (LCM) of 5064 and 5072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5064 and 5072. First we will calculate the prime factors of 5064 and 5072.

Prime Factorization of 5064

Prime Factorization of 5072

Now multiplying the highest exponent prime factors to calculate the LCM of 5064 and 5072.

LCM(5064,5072) = 2⁴ × 3¹ × 211¹ × 317¹
LCM(5064,5072) = 3210576