What is the Least Common Multiple of 29712 and 29717?

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 29712 and 29717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29712 and 29717, than apply into the LCM equation.

GCF(29712,29717) = 1
LCM(29712,29717) = ( 29712 × 29717) / 1
LCM(29712,29717) = 882951504 / 1
LCM(29712,29717) = 882951504

Least Common Multiple (LCM) of 29712 and 29717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29712 and 29717. First we will calculate the prime factors of 29712 and 29717.

Prime Factorization of 29712

Prime Factorization of 29717

Now multiplying the highest exponent prime factors to calculate the LCM of 29712 and 29717.

LCM(29712,29717) = 2⁴ × 3¹ × 619¹ × 29717¹
LCM(29712,29717) = 882951504