What is the Least Common Multiple of 70064 and 70081?

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 70064 and 70081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70064 and 70081, than apply into the LCM equation.

GCF(70064,70081) = 1
LCM(70064,70081) = ( 70064 × 70081) / 1
LCM(70064,70081) = 4910155184 / 1
LCM(70064,70081) = 4910155184

Least Common Multiple (LCM) of 70064 and 70081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70064 and 70081. First we will calculate the prime factors of 70064 and 70081.

Prime Factorization of 70064

Prime Factorization of 70081

Now multiplying the highest exponent prime factors to calculate the LCM of 70064 and 70081.

LCM(70064,70081) = 2⁴ × 29¹ × 151¹ × 11¹ × 23¹ × 277¹
LCM(70064,70081) = 4910155184