What is the Least Common Multiple of 39214 and 39232?

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 39214 and 39232 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 39214 and 39232, than apply into the LCM equation.

GCF(39214,39232) = 2
LCM(39214,39232) = ( 39214 × 39232) / 2
LCM(39214,39232) = 1538443648 / 2
LCM(39214,39232) = 769221824

Least Common Multiple (LCM) of 39214 and 39232 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 39214 and 39232. First we will calculate the prime factors of 39214 and 39232.

Prime Factorization of 39214

Prime Factorization of 39232

Now multiplying the highest exponent prime factors to calculate the LCM of 39214 and 39232.

LCM(39214,39232) = 2⁶ × 7¹ × 2801¹ × 613¹
LCM(39214,39232) = 769221824