What is the Least Common Multiple of 71296 and 71301?

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 71296 and 71301 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71296 and 71301, than apply into the LCM equation.

GCF(71296,71301) = 1
LCM(71296,71301) = ( 71296 × 71301) / 1
LCM(71296,71301) = 5083476096 / 1
LCM(71296,71301) = 5083476096

Least Common Multiple (LCM) of 71296 and 71301 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71296 and 71301. First we will calculate the prime factors of 71296 and 71301.

Prime Factorization of 71296

Prime Factorization of 71301

Now multiplying the highest exponent prime factors to calculate the LCM of 71296 and 71301.

LCM(71296,71301) = 2⁷ × 557¹ × 3¹ × 23767¹
LCM(71296,71301) = 5083476096