What is the Least Common Multiple of 73712 and 73717?

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 73712 and 73717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73712 and 73717, than apply into the LCM equation.

GCF(73712,73717) = 1
LCM(73712,73717) = ( 73712 × 73717) / 1
LCM(73712,73717) = 5433827504 / 1
LCM(73712,73717) = 5433827504

Least Common Multiple (LCM) of 73712 and 73717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73712 and 73717. First we will calculate the prime factors of 73712 and 73717.

Prime Factorization of 73712

Prime Factorization of 73717

Now multiplying the highest exponent prime factors to calculate the LCM of 73712 and 73717.

LCM(73712,73717) = 2⁴ × 17¹ × 271¹ × 7¹ × 10531¹
LCM(73712,73717) = 5433827504