What is the Least Common Multiple of 8064 and 8070?

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 8064 and 8070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8064 and 8070, than apply into the LCM equation.

GCF(8064,8070) = 6
LCM(8064,8070) = ( 8064 × 8070) / 6
LCM(8064,8070) = 65076480 / 6
LCM(8064,8070) = 10846080

Least Common Multiple (LCM) of 8064 and 8070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8064 and 8070. First we will calculate the prime factors of 8064 and 8070.

Prime Factorization of 8064

Prime Factorization of 8070

Now multiplying the highest exponent prime factors to calculate the LCM of 8064 and 8070.

LCM(8064,8070) = 2⁷ × 3² × 7¹ × 5¹ × 269¹
LCM(8064,8070) = 10846080