What is the Least Common Multiple of 71332 and 71336?

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 71332 and 71336 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71332 and 71336, than apply into the LCM equation.

GCF(71332,71336) = 4
LCM(71332,71336) = ( 71332 × 71336) / 4
LCM(71332,71336) = 5088539552 / 4
LCM(71332,71336) = 1272134888

Least Common Multiple (LCM) of 71332 and 71336 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71332 and 71336. First we will calculate the prime factors of 71332 and 71336.

Prime Factorization of 71332

Prime Factorization of 71336

Now multiplying the highest exponent prime factors to calculate the LCM of 71332 and 71336.

LCM(71332,71336) = 2³ × 17¹ × 1049¹ × 37¹ × 241¹
LCM(71332,71336) = 1272134888