What is the Least Common Multiple of 80064 and 80070?

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 80064 and 80070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 80064 and 80070, than apply into the LCM equation.

GCF(80064,80070) = 6
LCM(80064,80070) = ( 80064 × 80070) / 6
LCM(80064,80070) = 6410724480 / 6
LCM(80064,80070) = 1068454080

Least Common Multiple (LCM) of 80064 and 80070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 80064 and 80070. First we will calculate the prime factors of 80064 and 80070.

Prime Factorization of 80064

Prime Factorization of 80070

Now multiplying the highest exponent prime factors to calculate the LCM of 80064 and 80070.

LCM(80064,80070) = 2⁶ × 3² × 139¹ × 5¹ × 17¹ × 157¹
LCM(80064,80070) = 1068454080