What is the Least Common Multiple of 71336 and 71349?

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 71336 and 71349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71336 and 71349, than apply into the LCM equation.

GCF(71336,71349) = 1
LCM(71336,71349) = ( 71336 × 71349) / 1
LCM(71336,71349) = 5089752264 / 1
LCM(71336,71349) = 5089752264

Least Common Multiple (LCM) of 71336 and 71349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71336 and 71349. First we will calculate the prime factors of 71336 and 71349.

Prime Factorization of 71336

Prime Factorization of 71349

Now multiplying the highest exponent prime factors to calculate the LCM of 71336 and 71349.

LCM(71336,71349) = 2³ × 37¹ × 241¹ × 3¹ × 17¹ × 1399¹
LCM(71336,71349) = 5089752264