What is the Least Common Multiple of 73064 and 73081?

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 73064 and 73081 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73064 and 73081, than apply into the LCM equation.

GCF(73064,73081) = 1
LCM(73064,73081) = ( 73064 × 73081) / 1
LCM(73064,73081) = 5339590184 / 1
LCM(73064,73081) = 5339590184

Least Common Multiple (LCM) of 73064 and 73081 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73064 and 73081. First we will calculate the prime factors of 73064 and 73081.

Prime Factorization of 73064

Prime Factorization of 73081

Now multiplying the highest exponent prime factors to calculate the LCM of 73064 and 73081.

LCM(73064,73081) = 2³ × 9133¹ × 107¹ × 683¹
LCM(73064,73081) = 5339590184